EXAMPLE:Using the same bag of candy, find the probability that a person
selects a caramel or a chocolate.
SOLUTION:
GOAL: You are being asked to find the probability that the piece of candy
is a caramel or a chocolate.
STRATEGY: There are 25 pieces of candy and there are 10 caramels and 4
chocolates.
IMPLEMENTATION:P(caramel or chocolate)¼
10 þ 4
25
¼
14
25
.
EVALUATION: You can verify the answer by looking at the sample space.
EXAMPLE:In a classroom, there are 18 freshmen and 10 sophomores. If a
student is selected at random to read a passage, find the probability that the
student is a sophomore.
SOLUTION:
GOAL: You are being asked to find the probability that the student is a
sophomore.
STRATEGY: There are a total of 28 students in the class and 10 are
sophomores.
IMPLEMENTATION:P(sophomore)¼
10
28
¼
5
14
.
EVALUATION: The answer can be verified by looking at the distribution.
Try These
l. A single die is rolled once; find the probability of getting
(a) a five
(b) a number greater than four
(c) a number less than six
(d) a number greater than six
272 LESSON 22 Word Problems in Probability