Question

Write sample space ‘S’ and number of sample point n(S) for the following

experiment. Also write events A, B in the set form and write n(A), n(B).

From three men and two women, environment committee of two persons

is to be formed.

Condition for event A : There must be at least one woman member.

Condition for event B : One man, one woman committee to be formed.​

Answer 1

Answer:

Let the three men be M1 , M2 , M3 and the two women be W1 , W2.Out of these men and women, a environment committee of two persons is to be formed.

Sample space, S = {M1 M2, M1 M3, M1 W1, M1 W2, M2 M3 , M2 W1, M2 W2, M3 W1 , M3 W2, W1 W2 }

∴ n(S) = 10

Condition for event A: There must be at least one woman member.

∴ A = {M1 W1, M1 W2, M2 W1, M2 W2 , M3 W1, M3 W2, W1 W2 }

∴ n(A) = 7

Condition for event B: One man, one woman committee to be formed.

∴ B = {M1 W1, M1 W2, M2 W1, M2 W2, M3 W1, M3 W2 }

n(B) =6