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Problem Solving And Data Analysis · Probability

SAT Probability Practice Questions (Free + Explanations) | Quiz 1

Question 12345 of 5

Question 1 of 5

A school cafeteria offers 5 different sandwiches, 3 different salads, and 2 different soups. One student will be chosen at random from those who bought lunch on Tuesday. Of the students who bought lunch that day, bought a sandwich, bought a salad, and bought soup. What is the probability that the selected student bought a salad?

Explanation

Probability is calculated as . Here, the favorable outcome is selecting a student who bought a salad, so the numerator is . The total number of students who bought lunch is . Therefore, the probability is .

Concept summary

To find an experimental probability, divide the number in the target group by the total number of outcomes.

Question 2 of 5

A bag contains only red and blue marbles. The probability of randomly selecting a red marble from the bag is . If there are 24 marbles in the bag, how many blue marbles are in the bag?

Explanation

Probability is the number of favorable outcomes divided by the total number of outcomes. Since the probability of selecting a red marble is and there are 24 marbles total, the number of red marbles is . Because the bag contains only red and blue marbles, the number of blue marbles is . Therefore, the correct answer is .

Concept summary

Use probability as a part-to-whole relationship: multiply the total by the probability to find the number in one category, then subtract from the total if needed to find the other category.

Question 3 of 5

A spinner is divided into 8 equal sections. Three sections are labeled 1, two sections are labeled 2, and three sections are labeled 3. If the spinner is spun once, which expression is equivalent to the probability of landing on a number greater than 1?

Explanation

A number greater than 1 means landing on either 2 or 3. There are 2 sections labeled 2 and 3 sections labeled 3, for a total of favorable sections. Since there are 8 equal sections altogether, the probability is . So the equivalent expression is .

Concept summary

For equally likely outcomes, probability is the number of favorable outcomes divided by the total number of outcomes.

Question 4 of 5

The scatterplot of 20 points shown represents the outcomes of 20 trials of a game. Each point is either above or below the horizontal line . If a point above the line represents a win, and 8 of the 20 points are above the line, what is the probability that a randomly selected trial was a win?

Explanation

Probability is the number of winning trials divided by the total number of trials. Since 8 of the 20 points are above , the probability of a win is . Simplifying gives , so the correct answer is .

Concept summary

For experimental probability, divide the number of favorable outcomes by the total number of outcomes.

Question 5 of 5

A school survey found that 120 students chose either band or chorus as their favorite elective. Of these students, 70 chose band. If 1 student is selected at random from these 120 students, what is the probability that the student chose chorus?

Explanation

Since all 120 students chose either band or chorus, the number who chose chorus is . The probability of selecting a student who chose chorus is therefore . Simplifying gives . So the correct answer is .

Concept summary

For a probability, use . When one category is missing, find it by subtracting from the total first.

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice