1: Suppose you roll two 8 sided dice (one red and one blue). What is the probability

(a) The numbers sum to 7?

(b) Exactly one 4 is rolled?

(c) Exactly one 4 is rolled and the numbers sum to 7?

(d) Exactly one 4 is rolled or the numbers sum to 7 (or both)?

2: Given P[E] = 0.26, P[F] = 0.84 and P[E F] = 0.93, find

(a) P[E c ];

(b) P[E F];

(c) P[E c F c ];

(d) P[E c F c ];

3: Suppose you have a standard deck* of 52 cards. Suppose you draw a card, replace it, and then draw another card. What is the probability that

(a) You draw two Kings (possibly the same King twice)?

(b) You draw at least one Spade?

(c) You draw two Kings and at least one Spade?

*You can think of this as RS, where R is the set of 13 rands {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K} and S is the set of 4 suits {, , , }