A card is drawn from an ordinary deck. Find these probabilities. 1 Of getting a jack 2 Of getting the 6 of clubs (i.e., a 6 and a club) 3 Of getting a 3 or a diamond 4 Of getting a 3 or a 6

Answer 1

A ordinary deck of cards has 52 cards (13 cards A-K, in 4 suits)

We can solve this problem as a counting problem.

1. P(1 jack) = # of jacks in the deck/# of cards in the deck = 4/52
2. P(6 of clubs) = # 6 of clubs/# of cards in the deck = 1/52
3. P(3 of any suit or any diamond) = # of 3's in the deck or diamond's in the deck/52 = # of 3's + # of diamonds - 1 (we want to avoid double counting the 3 of diamonds) = 16/52
4. P(3 of any suit or 6 of any suit) = # of 3's + # of 6's/52 = 8/52