A single card is drawn from a standard 52 card deck. If A is the event \"the dra

Question

A single card is drawn from a standard 52 card deck. If A is the event "the drawn card is a heart" and B is the event "the drawn card is odd" (cards A, K, Q, and J have no numerical value).
A. Find P(B|A).
B. Are the events A and B independent?
Show calculations. A single card is drawn from a standard 52 card deck. If A is the event "the drawn card is a heart" and B is the event "the drawn card is odd" (cards A, K, Q, and J have no numerical value).
A. Find P(B|A).
B. Are the events A and B independent?
Show calculations.
A. Find P(B|A).
B. Are the events A and B independent?
Show calculations.

Explanation / Answer

Number of cards of heart = 13

P(A) = 13/52 = 1/4

Number of odd cards = 4*4 = 16 (3,5,7,9 from each of heart, club, spade, diamond)

P(B) = 16/52 = 4/13

P(A and B) = 4/52

A) P(B | A) = P(A and B) / P(A)

= (4/52) / (1/4)

= 4/13

B) Since , P(B | A) = P(B) , A and B are independent events.

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