Pick A Card, Any Card!

15 Points Per Correct Answer - No time limit  

1. A card is selected at random from a standard 52 card deck. Assuming all cards are equally likely to be selected, what is the probability that a red king was selected? 1/26 1/13 1/52 15/26

2. A card is selected at random from a standard 52 card deck. Assuming all cards are equally likely to be selected, what is the probability that a red card or a king was selected? 1/2 15/26 7/13 17/26

3. A card is selected at random from a standard 52 card deck. Assuming all cards are equally likely to be selected, what is the probability that a red card was selected given that a king was selected? 1/2 1/4 1/13 1/26

4. A card is selected at random from a standard 52 card deck. Assuming all cards are equally likely to be selected, what is the probability that a king was selected given that a red card was selected? 1/4 1/26 1/13 1/2

5. A card is selected at random from a standard 52 card deck. We are told that a king was not selected. Assuming all cards are equally likely to be selected, what is the probability that the queen of hearts was selected? 1/13 1/39 1/52 1/48

6. Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that the second card is an ace given that the first card is an ace? 1/17 3/52 1/221 1/13

7. Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that the second card is not an ace given that the first card is not an ace? 16/17 1/13 47/51 1/4

8. Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that both cards are red? 13/50 1/4 25/102 25/2704

9. Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that both cards are not aces? 144/169 188/221 15/16 12/13

10. Suppose two cards are drawn from a standard 52 card deck without replacement (which means when we draw a card, we don't put it back). Assuming all cards are equally likely to be selected, what is the probability that the second card is an ace given that the first card is a club? 2/25 3/51 1/13 4/51