A family has four children. The probability of having a girl is 1/2. What is
the probability of having 2 girls followed by 2 boys?
Prob(GGBB) = (1/2)*(1/2)*(1/2)*(1/2)
= 1/16
Thank You
1/16
To calculate the probability of having 2 girls followed by 2 boys in a family with four children, we can break it down into smaller probabilities.
The probability of having a girl is given as 1/2. Since there are four children in total, the probability of having 2 girls is (1/2)^2, which simplifies to 1/4.
Similarly, the probability of having a boy is also 1/2. So, the probability of having 2 boys is (1/2)^2, which is also 1/4.
Now, to find the probability of having 2 girls followed by 2 boys, we multiply the probabilities.
(1/4) * (1/4) = 1/16
Therefore, the probability of having 2 girls followed by 2 boys in a family with four children is 1/16.