Question

Sandor draws a card from a deck. He replaces the card, shuffles the deck, and draws another card. What is the probability that he draws a heart twice?

Answer 1

P(drawing a heart on first draw) = (No. of hearts)/(Total no. of cards)

= 13/52

= 1/4

Since, Sandor replaces the card after drawing, the total no. of cards and the no. of hearts remain unchanged during the second draw. Thus,

P(drawing a heart on second draw) = (No. of hearts)/(Total no. of cards)

= 13/52

= 1/4

Thus, the probability that he draws a heart twice = P(drawing a heart on first draw)*P(drawing a heart on second draw)

= (1/4)*(1/4)

= 1/16 = 0.0625 [Answer]

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