Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is the probability that all the children are girls
(1/2)^5 = 1/32
.31
To calculate the probability that all five children in a family are girls, we need to multiply the probability of each child being a girl together. Assuming that the probability of having a girl or a boy is exactly 50%, we can use the following calculation:
Probability of having a girl = 0.5
Probability of having all five children as girls = (0.5)^5 = 0.03125 or 3.125%
Therefore, the probability that all the children in a family with five children are girls is approximately 3.125%.
To calculate the probability that all five children in a family are girls, you need to consider that the chances of having a girl for each child are independent events. The probability of having a girl for each child is 1/2 since there are two equally likely outcomes: a girl or a boy.
To find the probability of all five children being girls, you need to multiply the probabilities of having a girl for each child together. Since there are five children, and each child has a 1/2 probability of being a girl, the calculation would look like this:
Probability (all girls) = (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32
Therefore, the probability that all five children in a family are girls is 1/32, or approximately 0.03125.