Asked by tim

Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the table.

A 2-column table has 5 rows. The first column is labeled Number of children in family with entries 1, 2, 3, 4, 5 or more. The second column is labeled Number of surveys with entries 9, 18, 22, 8, 3.

Two surveys are chosen at random from the group of surveys. After the first survey is chosen, it is returned to the stack and can be chosen a second time. What is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family?

StartFraction 1 Over 50 EndFraction
StartFraction 2 Over 15 EndFraction
StartFraction 3 Over 20 EndFraction
StartFraction 17 Over 60 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Total surveys = 9+18+22+8+3 = 60.

P(first is 4 children) = 8/60 = 2/15.
P(second is 1 child) = 9/60 = 3/20.
With replacement, multiply: (2/15)(3/20) = 6/300 = 1/50.

Answer: 1/50.