Tutors Answer Your Questions about Permutations (FREE)
Question 1122548: Two fair six-sided dice are rolled.
What is the probability the sum of the numbers on the two dice is 5?
What is the probability the sum is 6?
What is the probability the sum is not 4?
What is the probability the sum is either 8 or 10?
What is the probability the sum is neither 9 nor 7?
Enter your answers as fractions in lowest terms.
Click here to see answer by rothauserc(4718)  |
Question 1122550: A box contains nine chocolates -- four with pecans, three with coconut, and two with raspberry creme. Spider-Man eats three of the chocolates, chosen randomly. What's the probability that he eats (exactly) two with coconut?
Enter your answer as a fraction in lowest terms
Click here to see answer by greenestamps(13198)  |
Question 1122550: A box contains nine chocolates -- four with pecans, three with coconut, and two with raspberry creme. Spider-Man eats three of the chocolates, chosen randomly. What's the probability that he eats (exactly) two with coconut?
Enter your answer as a fraction in lowest terms
Click here to see answer by ikleyn(52777)  |
Question 1122537: A bag contains two 1-dollar bills, three 5-dollar bills, and two 10-dollar bills. An experiment consists of drawing three random bills from the bag simultaneously. Considering an outcome to be the three selected bills, the experiment has C(7,3)=35 equally likely outcomes in its sample space. Let E be the event that at most one 5-dollar bill was drawn. What is n(E)?
Click here to see answer by greenestamps(13198)  |
Question 1122854: Lili has 20 friends. Among them are Kevin and Gerry, who are husband and wife.
Lili wants to invite six of her friends to her birthday party. If neither Kevin nor
Gerry will go to a party without the other, how many choices does Lili have?
Click here to see answer by ikleyn(52777)  |
Question 1122883: From a faculty of six professors, six associate professors, ten assistant professors,
and twelve instructors, a committee of size six is formed randomly. What is the
probability that (a) there are exactly two professors on the committee; (b) all
committee members are of the same rank?
Click here to see answer by Boreal(15235)  |
Question 1122549: Seven students, including Jack and Jill, sit randomly in a row of seven chairs.
What is the probability that Jill is sitting in the first chair?
What is the probability that Jill is sitting in the first chair and Jack is not sitting in the second chair?
Enter your answers as fractions in lowest terms.
Click here to see answer by Alex.33(110)  |
Question 1123582: Barb knits socks for a charity supporting homeless and low income people. She likes to make striped socks and selects from six different colours. The top stripe can be any colour. The second stripe many not match the first colour. The bottom colour may not match the second, but may match the first. How many distinct pairs of socks could Barb make?
Click here to see answer by solver91311(24713)  |
Question 1124456: please help me. There are 6 black marbles, 6 white marbles, and 7 red marbles in a bag. If five marbles are chosen at random, find the probability that there will be two black, two white, and one red marble.
Click here to see answer by ikleyn(52777)  |
Question 1124667: An eight-volume set of reference books is kept on a shelf. The books are used frequently and put back
in random order.
a. How many ways can the eight books be arranged on the shelf ?
b. How many ways can the books be arranged so that Volume 5 will be the rightmost book?
c. Use the answers from (a) and (b) to find the probability that Volume 5 will be the rightmost
book if the books are arranged at random.
d. Explain how to compute the probability in (c) using another method.
e. If the books are arranged randomly, what is the probability that the last book on the right is
an even-numbered volume? Explain how you determined this probability.
f. How many ways can the books be arranged so that they are in the correct order, with volume
numbers increasing from left to right?
g. How many ways can the books be arranged so that they are out of order?
h. What is the probability that the books happen to be in the correct order?
Click here to see answer by ikleyn(52777)  |
Question 1125008: Panel has a combination lock. Patel has to set each part of the lock to a digit between 0 and 9 inclusive. One possible way to do this is 0, 8, 0, 7.
(a) How many different ways can Pavel do this?
Pavel decides that the 1st and 3rd digits will be odd numbers and the 2nd and 4th digits will be even.
(b) How many different ways are possible now?
Click here to see answer by math_helper(2461)  |
Question 1125080: In a study of brand recognition, 964 consumers knew of Google, and 34 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Google.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
Click here to see answer by ikleyn(52777)  |
Question 1125221: Suppose 11 manufacturers produce a certain microchip, whose quality varies from manufacturer to manufacturer. If you were to select 7 manufacturers at randon, what is the chance that the selection would contain exactly 2 of the best 3
Click here to see answer by ikleyn(52777)  |
Question 1125833: Suppose a test for a disease has a sensitivity of 95% and a specificity of 60%. Further suppose that in a certain country with a population of 1,000,000, 20% of the population has the disease.
Fill in the accompanying table.
Has disease Does not have disease Totals
Test positive
Test negative
Totals
Click here to see answer by Boreal(15235)  |
Question 1126277: Haroldo, Xerxes, Regina, Shaindel, Murray, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Six Hatfields and three McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Haroldo, Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?
Four Hatfields and five McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Click here to see answer by ikleyn(52777)  |
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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
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