Question

The probability of two events that are not mutually exclusive may be calculated using the formula

P(AUB) - P(A) + P(B) - P(
A B). In other words, the probability of A and B occurring is the sum of the probabilities, minus the
probability that A and B occurred. Using this formula, calculate the probability of drawing a red card or any jack on a single
random draw from a standard 52-card deck.

Answer 1

7/13

Explanation:

P(A or B) = P(A) + P(B) − P(A and B)

P(red or jack) = P(red) + P(jack) − P(red and jack)

P(red or jack) = 26/52 + 4/52 − 2/52

P(red or jack) = 28/52

P(red or jack) = 7/13

Answer 2

B. 17/26

Explanation:

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