Question

You draw one card from a 52 card deck. Then the card is replaced in the deck and the deck is shuffled, and your draw again. Find the probability of drawing a five each time.

Answer 1

• 1/169

Explanation:

There are 4 five's in the deck.

Probability of drawing a five is:

• P (5) = 4/52 = 1/13

Since the card is replaced, it has same probability the second time.

So the probability of drawing a five twice is:

• P(5, 5) = 1/13*1/13 = 1/169