Question

Assume equally likely outcomes.

 Determine the probability of having 3 boys in a 3-child family.

Answer 1

Step 1:

In the family there are 3 children.

List the possible outcomes is .

The number of all possible outcomes is .

The number of ways that 3 boys occur in a 3-child family is 1.

All the events are equally likely events.

Let  be the event of 3 boys occur in a 3-child family.

The probability of  for equally likely outcomes is defined as and it is denoted by .

Solution:

The probability of having 3 boys in a 3-child family is .