Answer:
1/4
Step-by-step explanation:
We have a family where there are 4 children
The probability of having a girl child = 1/2
The probability of having a boy child = 1/2
Since each child has an equal chance of ending up as a boy or girl
The number of possible outcomes =
1/2 × 1/2 × 1/2 × 1/2 = 1/16
The probability of having a girl that is the only girl in this family = 4 ways
1) bbbg = 3 boys and 1 girl
2) bbgb = 2 boys, 1 girl, 1 boy
3) bgbb = 1 boy, 1 girl, 2 boys
4) gbbb = 1 girl, 3 boys
The probability to have a girl that is the only girl in the family = No of ways × No of possible outcomes
4 ways × 1/16
= 4/16 = 1/4.
