Question

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.

Answer 1

a) 0.05882

b) 0.0625

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