1. Suppose we have a six-sided die that we roll once. Let ai represent the event that the result is i. Let Bj represent the event that the dice comes out greater than j. Let C represent the event that the result is an even number. a) Since the number is greater than 1, what is the conditional probability that 3 is obtained? (P[A3|B1]) b) Since the number is greater than 3, what is the conditional probability that 6 is obtained? c) Since the result is an even number, what is the conditional probability of a number greater than 3? (ie P[B3|C]) d) Since the number is greater than 3, what is the conditional probability of an even number?

1. Suppose we have a six-sided die that we roll once. Let ai represent the event that the result is i. Let Bj represent the event that the dice comes out greater than j. Let C represent the event that the result is an even number. a) Since the number is greater than 1, what is the conditional probability that 3 is obtained? (P[A3|B1]) b) Since the number is greater than 3, what is the conditional probability that 6 is obtained? c) Since the result is an even number, what is the conditional probability of a number greater than 3? (ie P[B3|C]) d) Since the number is greater than 3, what is the conditional probability of an even number?

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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