(4) Two fair dice, one red and one blue, are rolled. Let A be the event that the number rolled on the red die is odd. Let B be the event that the number rolled on the blue die is odd. Let C be the event that the sum of the numbers rolled on the two dice is odd. Show that A, B, C are pairwise independent but A, B, C are not independent

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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(4) Two fair dice, one red and one blue, are rolled. Let A be the event that the number rolled on the red
die is odd. Let B be the event that the number rolled on the blue die is odd. Let C be the event that the
sum of the numbers rolled on the two dice is odd. Show that A, B, C are pairwise independent but A, B, C
are not independent
Transcribed Image Text:(4) Two fair dice, one red and one blue, are rolled. Let A be the event that the number rolled on the red die is odd. Let B be the event that the number rolled on the blue die is odd. Let C be the event that the sum of the numbers rolled on the two dice is odd. Show that A, B, C are pairwise independent but A, B, C are not independent
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