If two cards are drawn from a deck of cards determine the pr

If two cards are drawn from a deck of cards, determine the probability of getting 2 cards from the same suite and getting two face cards.

Solution

Two cards are picked from a suite of 52. If the two cards have to be of the same suite, the first card can be of any of the four suites. The next card must be one of the remaining 13 cards of the same suite. This gives a probability of 12/51 = 4/17

The probability that both the cards are face cards is C(16, 2)/C(52, 2) = 20/221

The probability of picking two cards from the same suite is 4/17 and two face cards is 20/221