There are 5 dice. For two of them, half of the faces are painted white, while for the other three dice, only two of the six faces are white. One out of these dice is randomly chosen and thrown eight times. Find the probability that a die with two white faces were chosen if the white face falls exactly four times in eight throws.

There are 5 dice. For two of them, half of the faces are painted white, while for the other three dice, only two of the six faces are white. One out of these dice is randomly chosen and thrown eight times. Find the probability that a die with two white faces were chosen if the white face falls exactly four times in eight throws.

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 dice is thrown three times and the sum of the thrown numbers is 15. Find the probability for which number 4 appears in first throw.
Ana has a team composed of ten juniors and twelve sophomores. What is the probability that a committee of five, chosen from the team will consist of two juniors and three sophomores?
Two marbles are drawn from a bag that is 3 red, 4 purple, and 2 black. Find the probability that you picked Atleast one purple. You must draw the tree diagram.
A pair of dice is rolled, and the sum of the faces is obtained. Find the probability that the sum is a multiple of 3.
If Luis has 8 pairs of socks (4 white, two black, one blue, and one red), what is the probability that he randomly chooses two pairs of white socks to wear on consecutive days?
There are 3 red balls and 2 blue balls in a bag. balls will be drawn without replacement. Find the probability of getting exactly one red ball and one blue ball.
The mathematics department of a college has 8 male professors, 11 female professors, 14 male teaching assistants, and 7 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a professor or a female.
A group of six students is chosen at random from a list of five maths students and four psychology students. What is the probability that four maths students and two psychology students are chosen?
A child rolls 7 standard dice of different colors and records the numbers showing. Find the number of different outcomes
A jar contains 2 red marbles, 9 green marbles, and 8 blue marbles. what is the probability that you draw 5 green marbles in a row if you DO replace the marbles after each draw?
The mathematics department of a college has 6 male professors, 11 female professors, 10 male teaching assistants, and 12 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.