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I posted this question before and the person used values such as C2 to solve it.

ID: 3207223 • Letter: I

Question


I posted this question before and the person used values such as C2 to solve it. in my class we haven't gone over that method for problem solving so I didn't understand the steps, please explain each step

S. The math club of 50me university oonsists of freshmen, 3 sophomores, 15 junior5 Ind 7 N. Irolli these luukerul ure, five ollicers need to be cli Neru for the cliLb. Suppose the officers are selected by faculty at random. (a) What is the probability that exactly two seniors will be among the officers b) Wham 8 th Tobabi ty that at moHt two of th fficers wi be f (c) What iN the 1>robatiility tlusl all officers Hre IL the stu ysturi!

Explanation / Answer

Total members=6+8+15+7=36

The probability that exactly two seniors will be among the officers=

= (7 2) * (29 3)

=21*3654

=76734

The probability that exactly two seniors will be among the officers is 76734.

b)

the probability that at most two of the officers will be freshmen

=(6 1) * (30 4) + (6 2)*(30 3)

=6*27405 +15* 4060

=225330

the probability that at most two of the officers will be freshmen is 225330