Home / Digital SAT Math: Probability and conditional probability -Practice Questions

Digital SAT Math: Probability and conditional probability -Practice Questions

Digital SAT Math: Probability and conditional probability -Practice Questions - New Syllabus

DSAT MAth Practice questions – all topics

  • Problem-solving and Data Analysis Weightage: 15%  Questions: 5-7
    • Ratios, rates, proportional relationships, and units
    • Percentages
    • One-variable data: distributions and measures of centre and spread
    • Two-variable data: models and scatterplots
    • Probability and conditional probability
    • Inference from sample statistics and margin of error
    • Evaluating statistical claims: observational studies and Experiments

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DSAT MAth and English  – full syllabus practice tests

Question Easy

The table below summarizes whether or not the 135 customers on Tuesday at a local gas station purchased gasoline, a beverage, both, or neither:

 Beverage purchasedBeverage not purchasedTotal
Gasoline purchased602585
Gasoline not purchased351550
Total9540135

Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

A) \( \frac{15}{50} \)

B) \( \frac{15}{40} \)

C) \( \frac{35}{50} \)

D) \( \frac{50}{135} \)

▶️ Answer/Explanation
Solution

Ans: D

Total customers: 135.

Customers who did not purchase gasoline: 50.

Probability: \( \frac{50}{135} \).

Question Easy

Of the 8 planets in our solar system, 4 are considered rocky. If a student randomly selects 1 of those 8 planets as a topic for a report, what is the probability that the selected planet will be rocky?

A) \( \frac{1}{8} \)

B) \( \frac{1}{4} \)

C) \( \frac{1}{2} \)

D) 2

▶️ Answer/Explanation
Solution

Ans: C

Total planets: 8. Rocky planets: 4.

Probability: \( \frac{4}{8} = \frac{1}{2} \).

Question Easy

Each face of a fair number cube is labeled with a number from 1 through 6, with a different number appearing on each face. If the number cube is rolled one time, what is the probability that the number 2 will be shown on the top face?

A) \( \frac{1}{6} \)

B) \( \frac{2}{6} \)

C) \( \frac{4}{6} \)

D) \( \frac{5}{6} \)

▶️ Answer/Explanation
Solution

Ans: A

Total faces: 6. Favorable outcome (number 2): 1.

Probability: \( \frac{1}{6} \).

Question Easy

There are \( n \) nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms of \( n \)?

A) \( \frac{n}{12} \)

B) \( \frac{n}{n+12} \)

C) \( \frac{12}{n} \)

D) \( \frac{12}{n+12} \)

▶️ Answer/Explanation
Solution

Ans: B

Total books: \( n + 12 \). Nonfiction books: \( n \).

Probability: \( \frac{n}{n+12} \).

Choice A: Incorrect, wrong denominator.

Choice C: Incorrect, reverses ratio.

Choice D: Incorrect, probability of fiction book.

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