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Suppose we draw 2 cards out of a deck of 52. Let A = “the first card is an ace” and B = “the
second card is a spade.” Are A and B independent?
Solution
The two events are not independent as the occurence of one affects the occurence of the other.
P(A) = 4/52 = 1/13
P (B | A) is not the same as P(B).
Hence, the events are not independent.
Hope this helps.

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  • 1. Suppose we draw 2 cards out of a deck of 52. Let A = “the first card is an ace” and B = “the second card is a spade.” Are A and B independent? Solution The two events are not independent as the occurence of one affects the occurence of the other. P(A) = 4/52 = 1/13 P (B | A) is not the same as P(B). Hence, the events are not independent. Hope this helps.