3 1. A new casino game involves rolling 3 dice. It is known that the probability of 0 sixes is .58, 1 six is
.345, 2 sixes is .07 and all three sixes is .005. The winnings are directly proportional to the total number
of sixes rolled. Suppose a gambler plays the game 1000 times, with the following observed counts:
Number of Sixes
2
Number of Rolls
430
320
210
40
a. State the null and alternative hypotheses in this problem.
lec
0
1

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.