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

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 47507: Find the odds against obtaining two (2) heads in a single toss of two coins. Is it 1/2 Click here to see answer by stanbon(57290)
 Question 47507: Find the odds against obtaining two (2) heads in a single toss of two coins. Is it 1/2 Click here to see answer by venugopalramana(3286)

 Question 47506: Toss a pair of dice. What are the odds against obtaining doubles? (i.e.,each die has the same number). Click here to see answer by stanbon(57290)

 Question 47514: Six blue books and three red books in a bag. If three (3) books are selected and replaced. Find the probability that at least one is red. Click here to see answer by stanbon(57290)

 Question 47558: My daughter has three boats, four cars, and seven planes in a box. If three are chosen at random and not replaced, what is the probability that the first two are planes and the last one is a boat? Click here to see answer by stanbon(57290)

 Question 47560: How many ways can two books be selected from six if all of the books are different? Is it 15? Click here to see answer by stanbon(57290)

 Question 47502: The probability that a trainee will retain with the company is 0.8. The probability that an employee earns more than Rs. 20,000 per year is 0.004. The probability that an employee who was a trainee and remained with company or who earns more than Rs. 20,000 per year is 0.9 What is the probability that an employee earns more than Rs. 20,000 per year, given that he is a trainee who stayed with the company? Click here to see answer by stanbon(57290)

 Question 47667: The average weight of a box at a store is 10lbs. with a standard deviation of 2 lbs. If 200 boxes are at the store approximately how many boxes will be between 10 and 13 lbs. Click here to see answer by venugopalramana(3286)
 Question 47667: The average weight of a box at a store is 10lbs. with a standard deviation of 2 lbs. If 200 boxes are at the store approximately how many boxes will be between 10 and 13 lbs. Click here to see answer by Nate(3500)

 Question 47772: evaulte the expression: lne-9x i do not know how to do this problome. i hope that you can help me solve it! thanks Click here to see answer by stanbon(57290)

 Question 47773: a varible y varies directly with the square of x. if x=2 when y-4, find the constant of proportionality, k. how do you find that out? I am confused. please help. thanks so much! Click here to see answer by stanbon(57290)
 Question 47773: a varible y varies directly with the square of x. if x=2 when y-4, find the constant of proportionality, k. how do you find that out? I am confused. please help. thanks so much! Click here to see answer by tutorcecilia(2152)

 Question 47807: 1. A pair of dice is toosed. Find the probability of getting a. Two numbers which are both greater than 3? b. At most a total of 5? 2. Two cards are drawn in succession from the deck of card with replacement. What is the probability that both cards are greater than 2 and less than 8? 3. If 3 books are picked at random from the shalf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that 2 novels and 1 book are selected? 4. The probability that a married man watched a certain television shows os 0.4 and the probability that a married woman watches the show is 0.5 the probability that a man watches the show, given that his wife does is 0.7. Find the probability that a. A married couple watches the show and b. at least 1 person of married couple will watch the show Click here to see answer by Nate(3500)

 Question 47810: 1. From a box containing 6 red bulbs, 8 yellow bulbs and blue bulbs, two bulbs is drawn. Dteremine the probability that the first is a red and the second is yellow. 2. Five girls and 3 boys are to be seated in a row. If seats are taken randomly, waht is the probability that the girls will be seated together? 3. A box of 15 batteries contains defectives, what is the probability that out of the 3 baterries selected without replacement, two is not defective? 4. A box contains 5 white and 3 green marbles. A second box contains 4 white and 6 green marbles. Suppose that a marble is drawn from the first box and placed unseen in the second box. What is the probability that a marble now drawn from the second box is green? Click here to see answer by consc198(59)
 Question 47810: 1. From a box containing 6 red bulbs, 8 yellow bulbs and blue bulbs, two bulbs is drawn. Dteremine the probability that the first is a red and the second is yellow. 2. Five girls and 3 boys are to be seated in a row. If seats are taken randomly, waht is the probability that the girls will be seated together? 3. A box of 15 batteries contains defectives, what is the probability that out of the 3 baterries selected without replacement, two is not defective? 4. A box contains 5 white and 3 green marbles. A second box contains 4 white and 6 green marbles. Suppose that a marble is drawn from the first box and placed unseen in the second box. What is the probability that a marble now drawn from the second box is green? Click here to see answer by venugopalramana(3286)

 Question 47893: 1. Assume the 2 out 5 shipments coming from a particular supplier do not arrive on time. What is the probability that among 8 shipments which this supplier sends, a. Exactly 3 will not arrive on time? b. Less than 3 will not arrive on time? c. Exactly 6 will arrive on time? 2. The probability that a certain production process will produce a defective part is 0.20. Find the probability that a lot of 12 parts will contain exactly 5 defective parts. a. Exactly 5 defectives? b. 3 or 4 defective parts? 3. The average number of points which a PBA players makes per quarter of a game is 6.5, find the probability that in the first quarter of the next game, he will make 7 to 10 points? THe IQs of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of thse students will be rejected on this basis regardless of their other qualifications? Click here to see answer by stanbon(57290)

 Question 48179: A box contains 4 red and 5 green balls. Three balls are drawn. The probability 2 red and 1 green are drawn are drawn is. 1, 1/3 2, 4/9 c. 5/14 d. 3/5 My answer is 4/9, 4/9=.44 amd 5/9=.55 is this right. Thanks for any help given. Click here to see answer by stanbon(57290)

 Question 48197: Can somebody please confirm if my answer is correct? My wild guess is 11. But if I am to use C= 12!/[1!(12-1)!] = 12 is what I get. I will appreciate your response.Thanks. A chess tournament has 12 participants. How many games must be scheduled if every player must play every other player exactly once. Click here to see answer by AnlytcPhil(1276)

 Question 48195: Please help me analyze this problem. I tried C= 10!/8(10-8) = 10*9/2= 45. Is this correct? A student must answer eight of ten questions on an exam. How many different choices can a student make? Click here to see answer by stanbon(57290)

 Question 48332: ```Today my teacher informed us we would have a EPW test coming up in a few days. We were given little information but told it would include questions such as this: Q: Find the term independent of x: (2x + 1/x2)12 It's probably linked to counting techniques as that's the topic we're currently studying. As far as i know it's not from a txtbook.``` Click here to see answer by AnlytcPhil(1276)

 Question 48445: How many numbers consisting of one, two, or three digits, without repetitions, can you form using the digits 1,2,3,4,5, and 6? Click here to see answer by Nate(3500)

 Question 48478: A marble is drawn at random from a box containing 3 yellow, 4 white and 8 blue marbles. A yellow marble is drawn 3/15 A blue marble is drawn 8/15 A black marble is drawn 0 A white or blue is drawn 12/15 Click here to see answer by kharisree(2)

 Question 48484: A company plans to give cash bonuses to the 3 salespeople with the best, second best and third best sales records for the year. If there are 14 sales people, in how many ways can the awards be made? Click here to see answer by longjonsilver(2297)

 Question 48482: A student wishes to scehdule each of 6 elective courses in different terms. If none of these has prerequisites, in how many different orders may the courses be taken? Click here to see answer by longjonsilver(2297)

 Question 48481: A firm has an opening for 3 computer programmers and there are 20 applicants. In how many different ways can the job be filled? Click here to see answer by longjonsilver(2297)

 Question 48480: Signals are sent from a battleship by placing four flags on a vertical pole. How many different signals can be formed by selecting the four flags from 1. Four different colored flags 2. Two different red flags & two identical white flags Click here to see answer by longjonsilver(2297)

 Question 48479: When a single card is drawn from an ordinary 52 card deck, find the probability it will be the following; A red Card An Ace A heart or a king A club, given it is black An ace or a card above a jack A queen, given it is a spade A 5, given it is a face card Now assume that the two cards are drawn without replacement. Find the probability of each of the following events. Both are aces One is a king and one is an ace Neither one is an ace Both are red Both are face cards A face card A black 2 or a face card Click here to see answer by AnlytcPhil(1276)

 Question 48695: ABout how much would it cost to run a natural gas water heater for one year in a narea where natural gas costs .90 cents per therm? My question to you is how would i set this equation up in order to solve the problem? Click here to see answer by stanbon(57290)

 Question 48802: Mike invested \$6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned \$624 in interest. How much did he invest at each rate? Click here to see answer by stanbon(57290)

 Question 48934: how many numbers of five different digits, each number to contain 3 odd and 2 even digits, can be formed from the digits 1,2,3,4,5,6,7,8 and 9?Thanks! Click here to see answer by longjonsilver(2297)

 Question 49311: Can you help me find the answers for these problem. (IT IS BELOW) Problem: Monica received x points on a test. Sandra Received 4 points more than Monica. A. Write Down Sandra's Points in terms of x. B.When Monica subtracts 7 from her points and squares the results, her answer is 1 more than Sandra's points. I. Write down an equation in x and show that it simplifies to x to the 2nd power minus 15x plus 44 equals 0. II. Solve the equation x to the 2nd power minus 15 x plus 44 equals 0. C. The test was graded out of 10. write down the number of points received by each girl. Click here to see answer by Nate(3500)

 Question 48935: how many numbers of five different digits, each number to contain 3 odd and 2 even digits, can be formed from the digits 1,2,3,4,5,6,7,8 and 9?Thanks! Click here to see answer by stanbon(57290)

 Question 48387: I am really confused with this one. The book doesn't offer enough explanation. Please help... Calculate the probability of the event Four digits are selected from the digits 1,2,3,4 and a number is formed. Find the probability that the number is greater thaan 3000, assuming digits can be repeated. Click here to see answer by stanbon(57290)

 Question 49998: Please help me I'm up against a deadline. I'm a little confuse with which catagory these problems fit under< "derivation/solution" or "Combination/Permutation" and why the fit. There are a pile of face cards,(no aces) with 3 face cards removed. From the remaining pile,(9 face cards) the questions are: 1. How many ways of are there of selecting on of each face card from the pile? 2. How may ways of selecting are there of selecting the queen of clubs, then the king of diamonds and the jack of hearts? 3. How many ways to select 3 of the same face cards, 3jacks, 3queens, and 3kings from the pile. Thanks!!!!!!!! Click here to see answer by stanbon(57290)

 Question 47920: 15. The IQs of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of these students will be rejected on this basis regardless of their other qualifications? 9. Assume the 2 out of 5 shipments coming from a particular supplier do not arrive on time. What is the probability that among 8 shipments which this supplier sends, a.) Exactly 3 will not arrive on time? b.) Less than 3 will not arrive on time? c.) Exactly 6 will arrive on time? Click here to see answer by stanbon(57290)

 Question 47918: 4. The probability that a married man watches a certain television shows is 0.4 and the probability that a married woman watches the show is 0.5, the probability that a man watches the show given that his wife does is 0.7. Find the probability that a.) A married couple watches the show and b.) At least 1 person of a married couple will watch the show. 13. A call center operator working in the night shift reports that the average numbers of incoming queries is 3.2 per minute. Determine the probability that during a given minute, there will be a.) At most 3 incoming calls? b.) Four or more incoming calls? 14. A company pays its employees an average wage of 60 pesos an hour with a standard deviation of 10 pesos. If the wages are approximately normally distributed and paid to the nearest cent. a.) What percentage of the workers receive wages between 48 pesos and 69 pesos an hour inclusive? b.) The highest 5% of the employee hourly wages is greater than what amount? Click here to see answer by stanbon(57290)

 Question 47308: 1)Find the odds in favor of rolling the same number on a pair of dice. Click here to see answer by stanbon(57290)

 Question 47198: 1)Find the probability of getting a three first and then a four when the die is rolled twice. 2) Find the probability of drawing a heart or a club from a standard deck of cards 3) Find the probability of drawing a heart or a black card from a standard deck of cards. Click here to see answer by stanbon(57290)

 Question 47206: 1)Find the probability of getting a three first and then a four when the die is rolled twice. Click here to see answer by stanbon(57290)