If two balanced dice are rolled, what is the probability that the sum of spots is equal to five? Describe the sample space and the event as a subset of the sample space.

In how many ways can 11 one dollar coins be divided amongst 7 children? What if each child gets at least one coin?

A drawer contains 4 pairs of socks, one red, one black, one white and one green. If 4 socks are selected at random, what is the probability that the 4 socks include at least one pair?

What is the probability that a (5 card) poker hand contains a pair (i.e. at least two cards of the same denomination). Here assume that we just pick 5 cards out of a deck at random.

Suppose A and B are mutually exclusive events for which P(A) = :3 and P(B) = :5.
What is the probability that
(a) either A or B occurs;
(b) A occurs but B does not;
(c) both A and B occur. Solution: 0

In a hand of bridge nd the probability that you have 5 spades, and your partner has the remaining 8 spades.
Compute the probability that a bridge hand is void in at least one suit.

www.math.lsa.umich.edu/~spatzier/sol1.pdf