164334
AssignmentMultiple Choice

The Multiplication Rule for Dependent Events

Question 164334 • PISD-Statistics B 4th GP

Many of the students at a school play sports: 17% of students play soccer, 23% play football, and 48% of the football players play soccer. What is the probability that a randomly selected student plays both?

Answer
A
0.0816
B
0.1104
C
0.4792
D
0.4800

Explanation

To find the probability that a student plays both, multiply the probability of playing football by the probability of playing soccer given that the student plays football: 0.23 × 0.48 = 0.1104. Thus, the probability is 0.1104, or 11.04%, which is choice B.

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