Core Mathematics

1A fair coin and a fair die are tossed together. How many outcomes are in the sample space?

2P(A) = 1/3, P(B) = 1/4, independent. Find P(neither A nor B).

3A die is thrown twice. What is the probability of getting a 6 both times?

4Which pair of events is independent?

5Two fair dice are thrown. What is the probability that the total is 11?

6A card is drawn from a pack of 52, replaced, and a second card drawn. What is the probability that both are aces?

7A coin is tossed and a die is thrown. P(head and a 6) is

8Using the same figures (Ama 0.8, Kofi 0.7), P(neither passes) is

9The probability that Ama passes is 0.8 and Kofi passes is 0.7, independently. P(both pass) is

10Events A and B are independent with P(A) = 0.4 and P(B) = 0.5. Find P(A and B).