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PSAT Math Multiple-Choice Practice Question 386

Question: 386

FreshmenSophomoresJuniorsSeniorsTotal
Football4414143884501,693
Baseball3173432492831,192
Soccer2222843473161,169
Basketball3703143652911,340
Total1,3501,3551,3491,3405,394

The research group that conducted the survey wants to select one participant at random for a follow-up survey. Given that the selected participant is not a freshman, what is the probability of the research group randomly selecting someone who chose baseball as his or her favorite sport?

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Probability

Getting to the Answer: The question says that the selected candidate is not a freshman, so focus on the sophomore, junior, and senior columns. This makes the total possible outcomes for this drawing 1,355 + 1,349 + 1,340 = 4,044. The total number of upperclassmen who voted for baseball as their favorite sport (number of desired outcomes) is 343 + 249 + 283 = 875. Divide this by the total to find the probability: , which makes (B) correct.

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