5. A pair of fair dice are thrown 10 times. Each throw of the dice is anindependent event.(a) What is the probability that the sum of the two dice is greaterthan 8 for at least 2 of the 10 throws?(b) What is the expected number of times that the sum of the twodice is greater than 8?

Answered: Image /qna-images/answer/b6267202-c149-407b-9f89-e934b49314bd.jpg

Answered: 5. A pair of fair dice are thrown 10…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A fair die is tossed 4 times. What is the probability that(a) no fives show up?(b) 2 fives show up?(c) all fives show up?
Suppose you roll a pair of six-sided dice. (a) What is the probability that the sum of the numbers on your dice is exactly 6? (b) What is the probability that the sum of the numbers on your dice is at most 5? (c) What is the probability that the sum of the numbers on your dice is at least 8?
11. At a particular lake 4% of the fish have a disease which causes food poisoning. You go to the lake one day and catch 6 fish. Assume each fish in the lake has an equal chance of being caught. You eat all the fish you catch. What is the probability you get food poisoning? (a) 0.204 (b) 0.217 (c) 0.229 (d) 0.242
17. Two dice are rolled. Find the probability that: (a) The sum of the numbers is 8. (b) The sum of the numbers is less than 13. (c) The sum of the numbers is more than 8. (d) The sum is less than 4.
please answer all thanks !
A couple decided to have 3 children. (a) What is the probability that they will have at least two boys? (b) What is the probability that all the children will be of the same sex?
Suppose one NBA player can get one point in each free shot with probability 0.8. Now he has five times of free shots and it is reasonable to assume that the result in each shot has no impact on other shots. (b) What is the probability of his getting 3 points?(c) What is the probability of his getting at least 2 points?(d) we define an unusual event if the chance of the event is below 5%. Is it an unusual event that he lost all his shots? please explain each step fully
Based on a survey, we assume that 59% of students have a pet. Suppose that there are 4 students sitting at a table. Find the probability of each of these events. Give each probability as a percentage rounded to two decimal places. (a) What is the probability that all 4 students have a pet? (b) What is the probability that none of the 4 students have a pet? % (c) What is the probability that at least one of the 4 students have a pet? % %
Two fair dice are rolled and the sum of their up faces are noted. What is the probability that the sum is a multiple of 3 (I.e. 3,6,9, or 12) and less than 8?
A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.(a)What is the probability that one of the players receives all four Aces?(b)What is the probability that at least one player receives no hearts?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

5. A pair of fair dice are thrown 10 times. Each throw of the dice is an independent event. (a) What is the probability that the sum of the two dice is greater than 8 for at least 2 of the 10 throws? (b) What is the expected number of times that the sum of the two dice is greater than 8?