Question

7 What is the probability that the family has two or three children?
(a) 0.29 (b) 0.90 (c) 0.26 (d) 0.46​

Answer 1

Family Structures : For a recent year, 51% of the

families in the United States had no children under

the age of 18; 20% had one child; 19% had two

children; 7% had three children; and 3% had four or

more children.

If a family is selected at random, find the following

probability.

Q: What is the probability that the family has two or three children?

(a) 0.29

(b) 0.90

(c) 0.26

(d) 0.46​

A: The correct answer is option (c) 0.26

Solution: Observations form the data: (percentage of united state population - survey for families with or without children)

51% - no children under the age of 18

20% - no children

19% - two children

7% - three children

3% - four or more children

100% - total united states population (total number of outcomes)

The question asks for probability of family having two or three children:

add the percentage from the given value,

=> percentage of families with two children + percentage of families with three children

=> 19% + 7% = 26%

P (families with two or three children) =

number of favourable outcomes/ total number of outcomes  

26%/ 100% = 0.26

Therefore, the probability of families with two or three children = 0.26