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Suppose I have a bag of 5 dice. Three of the dice are standard 6-sided (sides labeled 1- 6), one die is 12-sided (sides labeled 1-12), and one die is 20-sided (sides labeled 1-20). I choose one of the 5 dice at random, roll it, and tell you the number. a) What is the probability of rolling a 5? b) If I tell you that I rolled a 5, what is the probability that I chose one of the 6-sided dice? c) If I tell you that I rolled a 10, what is the probability that I chose the 20-sided die?

Suppose I have a bag of 5 dice. Three of the dice are standard 6-sided (sides labeled 1- 6), one die is 12-sided (sides labeled 1-12), and one die is 20-sided (sides labeled 1-20). I choose one of the 5 dice at random, roll it, and tell you the number. a) What is the probability of rolling a 5? b) If I tell you that I rolled a 5, what is the probability that I chose one of the 6-sided dice? c) If I tell you that I rolled a 10, what is the probability that I chose the 20-sided die?

A First Course in Probability (10th Edition)
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...
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Suppose I have a bag of 5 dice. Three of the dice are standard 6-sided (sides labeled 1- 6), one die is 12-sided (sides labeled 1-12), and one die is 20-sided (sides labeled 1-20). I choose one of the 5 dice at random, roll it, and tell you the number. a) What is the probability of rolling a 5? b) If I tell you that I rolled a 5, what is the probability that I chose one of the 6-sided dice? c) If I tell you that I rolled a 10, what is the probability that I chose the 20-sided die? A- B I a) b) c)
Transcribed Image Text:Suppose I have a bag of 5 dice. Three of the dice are standard 6-sided (sides labeled 1- 6), one die is 12-sided (sides labeled 1-12), and one die is 20-sided (sides labeled 1-20). I choose one of the 5 dice at random, roll it, and tell you the number. a) What is the probability of rolling a 5? b) If I tell you that I rolled a 5, what is the probability that I chose one of the 6-sided dice? c) If I tell you that I rolled a 10, what is the probability that I chose the 20-sided die? A- B I a) b) c)
A bag contains 10 coins. Two of the coins have heads on both sides and the other eight coins are fair coins (one heads and one tails). A coin is drawn at random and flipped twice. P (first flip is heads) = P (coin is unfair I first flip is heads) = 0.2 P (both flips are tails) = 0.04 P (both flips are heads) = 0.0576 P (coin is unfair I both flips are heads) = 0.0
Transcribed Image Text:A bag contains 10 coins. Two of the coins have heads on both sides and the other eight coins are fair coins (one heads and one tails). A coin is drawn at random and flipped twice. P (first flip is heads) = P (coin is unfair I first flip is heads) = 0.2 P (both flips are tails) = 0.04 P (both flips are heads) = 0.0576 P (coin is unfair I both flips are heads) = 0.0
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