Find the probability of drawing a four each time.

Question

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

Answer 1

Independent probability, so each event is handled separately. You then multiply the individual events together to get the combined probability. So, P(A and A) where A = drawing a four from a standard deck, equals P(A)*P(A)...

P(A) = 4/52 = 1/13

P(A)*P(A) = 1/13*1/13 = 0.0059171598 or 0.6%

Answer 2

There are four 4's in a standard deck, one for each card suit. It is replaced each time, so it will have the same probability consistently. 4/52 which reduces to 1/13