A student owns two types of six-sided dice. The first type are normal fair dice, which land on each side with probability 16 . The second type are biased dice that land as a six with probability 0.5 and the other five sides with probability 0.1 each. The student’ sprior belief is there is a 20% chance the dice he is holding is a biased dice, and an 80%chance the dice is a fair dice. The student rolls the dice twice and gets two sixes. What now is his posterior belief that the dice is biased

A student owns two types of six-sided dice. The first type are normal fair dice, which land on each side with probability 16 . The second type are biased dice that land as a six with probability 0.5 and the other five sides with probability 0.1 each. The student’ sprior belief is there is a 20% chance the dice he is holding is a biased dice, and an 80%chance the dice is a fair dice. The student rolls the dice twice and gets two sixes. What now is his posterior belief that the dice is biased

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

An experiment is rolling two fair dice. What is the probability that the sum is 6?
Two fair dice are rolled. What is the probability the first die has an even number and the second die has a 6?
If you roll SIX-6 sided dice, what is the probability that at least one of the dice has a three showing?
Two dice are rolled. Given that two different numbers come up, what is the probability that one of the dice comes up 6 ?
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
If you roll 12 six sided dice and each one is a success on a roll of 5 or more, what what is the probability that you will get 6 or fewer total successes?
In a game of yahtzee, you roll 5 dice each turn. what is the probability that on one turn exactly two dice end up with the value 3?
No need for explanation
In the experiment of rolling two unloaded dice. What is the probability that the sum of the two dice is 2?