Question 1
The chart shows a certain city's population by age. Assume that the selections are independent events. If 11 residents of this city are selected at random, find the probability that the first 2 are 65 or older, the next 2 are 25-44 years old, the next 6 are 24 or younger, and the last is 45-64 years old.
City X's Population by Age
0-24 years old
33%
25-44 years old
22%
45-64 years old
21%
65 or older
24%
◦ 0.000013
◦ 0.000004
◦ 0.000001
◦ 0.000585
Question 2
Solve the problem that involves probabilities with events that are not mutually exclusive.
There are 38 chocolates in a box, all identically shaped. There are 15 filled with nuts, 10 with caramel, and 13 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 solid chocolates in a row.
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