Mrs. gomes found that 40% of students at her high school take chemistry. she randomly surveys 12 students. what is the probability that at most 4 students have taken chemistry? round the answer to the nearest thousandth.

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0.008
0.438
0.562
0.665

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.