Questions on Algebra: Probability and statistics answered by real tutors!

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Question 593109: Suppose an opaque jar contains 5 red marbles and 10 green marbles. I experiment picking 2 marbles from the jar without replacing the first one.
1. What is the probability of getting a green marble first and a red marble second?
2. What is the probability of getting a green marble and a red marble? How is this different from question #1?
For the 1st question I did this: (5x10)/(15x14)= 50/210 = 5/21 (am pretty sure that is right)
For the 2nd question I am stumped...I thought it would be the same answer but something keeps nagging at me that I am missing something. I thought about this: (5)squared +(10)squared/(15x14) = 125/210.595 or 59.5% I really don't understand how the questions are that different..or at least I know they are asking 2 different probable outcomes but don't know how to explain the difference. Can you please help me? Thanks!
Glennys




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Question 593067: if there are 8 blue, 4 orange, 9 yellow, and 3 red marbles in a bag what fraction shows the probability of getting blue?
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Question 593038: An experiment involves flipping a fair coin and recording the results. She has already flipped the coin 10 times. What is the probability that the next toss will be a tails?
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Question 593237: mark will roll 2 number cubes. what is the probability that he will roll a sum of 6?
A.1/36
B.5/36
C.1/6
D.5/6

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Question 593261: The probability that an individual is left handed is 0.15 in a class of 93 students what is the probability of finding exactly three left handers
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Question 593225: Can you work this problem out for me....In how many ways can a person choose 3 movies to see in a theater playing 11 movies?
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Question 593213: The probability of a car having a defective brake light is 1/10.
In a survey of 150 cars, what is the probability that 20 cars or more have a defective brake light?

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Question 593264: Hi,I need help on Finding Missing Numbers in Patterns and I was wondering do you know how they got from number to number in this problem:80,77,71, blank,50,35,17 and do you know the rule and do you know the answer.
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Question 593591: what is d\2-d\5=3
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Question 593651: Here's my question: To play Wisconsin power ball, you select 5 different numbers from 1 through 59 and 1 power ball number from 1 through 39. The power ball can match a previously selected number.
So how many different ways are there to select all six numbers?
AND
What is the probability of matching all 6 numbers?

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Question 593649: Hello, so if i have 9 red socks and 4 blue socks in a drawer, and i draw a sock twice without replacement, what is the probability that i have a pair?

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Question 593496: Determine the mean and standard deviation of the data the does not include your teacher's question. Is the data normally distributed? Explain
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Question 593686: In the FAQ section of the Wisconsin Lottery website is the question, "If the overall odds of winning a prize on an instant ticket are 1 in 10, then how come when I bought 10 tickets I didn't win?"
How should I answer this question?
Side note: Even though the website uses the word 'odds' they are actually giving the probability.

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Question 593663: What is the probability of an even chance?
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Question 593870: The probability of going to a resort and winning a new car is 1 in 52,000.
If 5,000 people visit a resort, how many would be expected to win a new car?

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Question 593974: Show all the possible outcomes of tossing two coins Heads-H Tails T
Event 1 Event 2 Outcomes Write
First Coin Second Coin ? (?,?)
1. Heads (H) Tails (T) Heads - Tails (H,T)
Heads ( H) Heads- Heads H,H
2. Tails (T) Tails (T) Tails-Tails T,T
Heads (H) Tails-Heads T,H

3. How many possible outcomes are there altogether? is it 4
4. What is the probability of each outcome occurring? Don't know this answer

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Question 593921: Please help me solve this;46% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU RANDOMLY SELECT 12 ADULTS AND ASK EACH TO NAME HIS OR HER FAVORITE NUT. FIND THE PROBABILITY THAT THE NUMBER WHO SAYS CASHEWS ARE THEIR FAVORITE NUT (A) EXACTLY THREE, (B) MORE THAN 2, AND (C) AT MOST TWO

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Question 594078: Just want to double check and make sure I'm doing this right. 5,7,10,9,5,3,1,0,1,2,3,1,0,6,7.
The mean is 60/15=4
Median=3
Mode=1

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Question 594092: the mode to 37,34,29,12,17,21,31,28,18,14,11

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Question 594161: There are 18 entrees available at a restaurant. From these, Archie is to choose 4 for his party. How many groups of entrees can he choose, assuming that the order of the entrees chosen does not matter?
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Question 594165: The mean height of a certain kind of plant is centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from . State the null hypothesis and the alternative hypothesis that we would use for this test.
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Question 594170: The mean height of a certain kind of plant is 130 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 130. State the null hypothesis and the alternative hypothesis that we would use for this test.
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Question 594224: There are eleven players on the basketball team. How many ways can a starting lineup of five players be chosen?
I did 11x5 and got 55 but I dont think that is right.

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Question 594139: What is the probability that a stock will show an increase in its closing price on five consecutive days?
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Question 594101: I am having a ton of trouble with this one please help...
1. Please show all of your work when answering the following:

I. Use Chebyshev’s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18.

II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15.

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Question 594234: If you have a spinner with 8 equal parts how do find:
P(factor of 15) and
P(multiple of 4)

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Question 594086: I am having issues with just this part of my course, can you help? Thank you.
1. Please show all of your work when answering the following:

I. Use Chebyshev’s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18.

II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15.

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Question 594024: 4. The Highway Safety Department wants to study the driving habits of individuals. A sample of 81 cars
traveling on the highway revealed an average speed of 67 miles per hour with a standard deviation of 9 miles per
hour.
a. Compute the standard error of the mean.
b. Determine a 99% confidence interval estimate for the speed of all cars.

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Question 594257: A family has five children. The probability of having a girl is 1/2. What is the probability of
having at least 4 girls?

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Question 594261: A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces ounces of coffee per cup. If it dispenses more that that on average, the corporation may lose money, and if it dispenses less, the customers may complain.
Believing that the mean amount of coffee dispensed by the machine, , is different from 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.7 ounces and that the standard deviation is 0.5 ounces.

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Question 594422: A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.
One die shows a 5, and the other is a number less than 3.

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Question 594394: A COMPANYS COMPUTER PASSWORDS MUST CONSIST OF 5 LETTERS WITH NO REPITITION OF LETTERS. HOW MANY DIFFERENT PASSWORDS ARE POSSIBLE?
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Question 594372: a student takes a 8- question, multiple-choice exam with 2 choices for each question and guesses on each question. find the probability of guessing at least 3 out of 8 correctly
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Question 594362: your odds in favor of winning a new car are 13 to 6. what is the probability you will win the car
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Question 594371: Mall security estimates that the average daily per-store theft is less than$250, but wants to determine the accuracy of this statistic. The company research takes a sample of 81 clerks and finds that X=$260 and s = $20
a) Test x =.05
B) CONSTRUCT A 95% cie of u

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Question 594546: Tom buys some packs of crayons for the class. The crayons come in packs of 5. How many crayons does Tom buy?

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Question 594534: 3 out of 10 houses have no insurance if 6 houses are chosen at random what is the probability that exactly one will be uninsured
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Question 594624: 1*9-89*9632
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Question 594508: 2 dice are rolled what are the odds that one will show an odd number and one will show an even number?
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Question 594668: for a daily lottery, a person selects a three-digit number. If the person plays for $1, she can win $500. Find the expectation. In the same daily lottery, if a person boxes the number 123, she will win $80. Find the expectation if the number 123 is played for $1 and boxed
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Question 594656: If a person rolls doubles when she tosses two dice she wins $5. For the game to be fair, how much should she pay to play the game?
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Question 594631: You are playing with an ordinary deck of 52 cards. What is the probability that you not draw a card lower than a 7 (Ace can be considered as a 1)?
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Question 594633: a box has 15 batteries 8 of which are totally dead. You start picking batteries out 1 at a time, find the probability that 1 of the first 5 work
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510