Problem 5. A psychologist will select 5 preschool children from a class of 11 to experiment...

Question

Question

Problem 5. A psychologist will select 5 preschool children from a class of 11 to experiment on. Suppose 4 of the children are

Answer 1

Answer #1

Problem 5

Different number way 5 students be chosen out of 11 :

Now,

So,

Different number way 5 students be chosen out of 11 = 231

Now,

Different number of ways to select 3 male children and 2 female children :

7! 7! 4! 4! (*C3) * (C2) = 2! * 5! 3! * (4 – 3)! 2! * (7 – 2)! 3!

4 * 3 * 2 * 1 7 * 6 *5 * 4 * 3 * 2 * 1 84 2 * 1 * 5 * 4 * 3 * 2 * 1 3 * 2 * 1

So,

Different number of ways to select 3 male children and 2 female children = 84

Now,

Probability that 3 male children and 2 female children be chosen for the experiment = 84 / 231 = 0.364

Answer 2

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