Question bank / Problem-Solving and Data Analysis

SAT Probability and conditional probability practice questions

Probability and conditional probability is one of the skills tested in the Problem-Solving and Data Analysis domain of the Digital SAT Math section. Below are 15 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.

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Question 1
A bag contains 6 red marbles, 9 blue marbles, and 5 green marbles. If one marble is selected at random, what is the prob
Easy
Question 2
A fair six-sided number cube has faces numbered 1 through 6. If the cube is rolled once, what is the probability of roll
Easy
Question 3
A box contains 40 tiles, and some of them are blue. If one tile is selected at random, the probability that it is blue i
Easy
Question 4
A spinner is divided into 4 equal sections numbered 1, 2, 3, and 4. The spinner is spun once and a fair coin is tossed o
Easy
Question 5
In a class of 25 students, 10 students wear glasses. If one student is selected at random, what is the probability that
Easy
Question 6
The table summarizes the results of a survey of 150 people about their housing type and whether they own a dog. If one p
Medium
Question 7
In a class of 30 students, 18 play a sport, 12 play a musical instrument, and 7 do both. If one student from the class i
Medium
Question 8
A jar contains only red beads and white beads, 48 beads in total. If one bead is selected at random, the probability tha
Medium
Question 9
The table shows the after-school activities of 120 students in grades 9 and 10. Each student chose exactly one category.
Medium
Question 10
The probability of rain on Saturday is 0.3, and the probability of rain on Sunday is 0.4. Assuming that rain on the two
Medium
Question 11
The table summarizes the results of a survey of 300 students in which each student chose a preferred class format. If on
Hard
Question 12
A factory has two machines. The table summarizes the items produced by each machine in one day and whether each item was
Hard
Question 13
The table summarizes the results of a survey of 400 adults about their primary source of news. If one adult is selected
Hard
Question 14
Five cards are numbered 1 through 5. Two cards are drawn at random, one after the other, without replacement. What is th
Hard
Question 15
The table shows the results of a screening test given to 1,000 people, some of whom had a certain condition. If a person
Hard