Question

4 cards are drawn from a standard deck find the probability that all the cards are hearts

Answer 1

Explanation:

13 Choose 4 / (52 * 51 * 50 * 49)

The order you choose the hearts does not matter. The total number of ways of choosing 4 hearts in any order is

13!/(4!9!) / (52!/48!)

13*12*11* 10

========= = 715

24

52 * 51* 50 * 49 = 6497400 This is the number of ways you can draw 4 cards in no order.

P(4 H) = 715 / 6497400

P(4H) = 0.00011