Live east of the river Live west of the river Total Less than 40 years old 17 11 28 At

Question

	Live east of the river	Live west of the river	Total
Less than $40$ years old	$17$	$11$	$28$
At least $40$ years old	$18$	$89$	$107$
Total	$35$	$100$	$135$

The table summarizes members of a local organization by age and whether they live east or west of the river. If a member of the organization is selected at random, what is the probability that the selected member is at least $40$ years old?

A.

$StartFraction 28 Over 135 EndFraction$

B.

$StartFraction 35 Over 135 EndFraction$

C.

$StartFraction 100 Over 135 EndFraction$

D.

$StartFraction 107 Over 135 EndFraction$

Accepted Answer

Choice D is correct. If a member of the organization is selected at random, the probability that the selected member is at least 40 years old is equal to the number of members who are at least 40 years old divided by the total number of members. According to the table, there are a total of 135 members of the organization, and 107 of these members are at least 40 years old. Therefore, the probability that the selected member is at least 40 years old is 107 135 . Choice A is incorrect. This is the probability that the selected member is less than 40 years old. Choice B is incorrect. This is the probability that the selected member lives east of the river. Choice C is incorrect. This is the probability that the selected member lives west of the river.

Question live-e