In a family with 7 children what is the probability of having 5 boys and then 2 girls in that order
1/128
To find the probability of having 5 boys and then 2 girls in that order in a family with 7 children, we need to consider the probability of each birth being a boy or a girl.
The probability of having a boy or a girl is 1/2 each, assuming an equal chance for either outcome. Since we have 7 children, we can calculate the probability of the specific scenario of having 5 boys followed by 2 girls as follows:
Probability of having 5 boys and 2 girls =
(Probability of having a boy)^(number of boys) * (Probability of having a girl)^(number of girls)
= (1/2)^5 * (1/2)^2
Simplifying the equation, we get:
= 1/32 * 1/4
= 1/128
Therefore, the probability of having 5 boys and 2 girls in that order in a family with 7 children is 1/128.