In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: 2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person

Solution:

Let us denote 2 boys and 2 girls in room X as B₁, B₂ and G₁, G₂ respectively. Let us denote 1 boy and 3 girls in room Y as B₃ and G₃, G₄, G₅ respectively.

To write the sample space, we have to consider each room with each of the boys/girls inside it.

Accordingly, the required sample space is given by:

S = {XB₁, XB₂, XG₁, XG₂,YB₃,YG₃,YG₄,YG₅}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 6

In each of the following Exercises 1 to 7, describe the sample space for the indicated experiment: 2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.

Summary:

The sample space for the experiment in which a room is selected and then a person(S) =  {XB₁, XB₂, XG₁, XG₂,YB₃,YG₃,YG₄,YG₅}