Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities. a) Assume the cards are drawn without replacement. Find the probability ofnbsp drawing a drawing a non dash heartnon-heart followed by a non dash hearta non-heart. b) Assume the cards are drawn with replacement. Find the probability ofnbsp drawing a drawing a non dash heartnon-heart followed by a non dash hearta non-heart.

Question

Mathematics

Mira

5 March, 18:44

Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities. a) Assume the cards are drawn without replacement. Find the probability ofnbsp drawing a drawing a non dash heartnon-heart followed by a non dash hearta non-heart. b) Assume the cards are drawn with replacement. Find the probability ofnbsp drawing a drawing a non dash heartnon-heart followed by a non dash hearta non-heart.

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Answers (1)

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Emilia Mayo · Answer 1

a) 0.05882

b) 0.0625

Step-by-step explanation:

a) without repalcement mean when the second card is drawn there is one less card of heart in the deck

p (heart and heart) = 13/52 * 12/51 = 0.05882

b) with replacement mean when the second card is drwan the total number of cards remain same

p (heart and heart) = 13/52 * 13/52 = 0.0625