Question

Use the rules of probability to answer the following questions. a. In a human family with five children, assuming each birth is equally likely to result in a boy or a girl, calculate the probability of having a group of siblings that includes no boys

Answer 1

The probability of having a group of siblings that includes no boys in a human family with five children is 0.03125.

Step-by-step explanation:

To calculate the probability of having a group of siblings that includes no boys in a human family with five children, we need to consider all possible combinations of genders for the children. Each child can either be a boy or a girl, and there are two possible outcomes for each child. Therefore, the total number of possible outcomes is 2^5 = 32.

Out of these 32 outcomes, we need to determine the number of outcomes where there are no boys. Since each child can only be a girl, there is only one outcome where all five children are girls.

Therefore, the probability of having a group of siblings that includes no boys is 1/32 or 0.03125.