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Probability Practice Questions

Class 10 · Mathematics · 1481 free MCQs with instant results and detailed explanations.

1481
Total
561
Easy
729
Medium
191
Hard

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Topics in Probability

Complementary Events 523
Simple Events 483
Classical Probability 475

Sample Questions from Probability

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What is the probability of rolling a sum of 7 on two six-sided dice?
A. 1/6
B. 1/12
C. 1/8
D. 1/4
Show Answer & Explanation
Correct Answer: A
There are 6 combinations that give a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total outcomes are 36, so P(sum=7) = 6/36 = 1/6.
Q2
Easy
If a coin is flipped, what is the probability of getting tails?
A. 1
B. 1/2
C. 1/4
D. 1/3
Show Answer & Explanation
Correct Answer: B
There are two outcomes: heads and tails. Thus, the probability of getting tails = 1 favorable outcome / 2 total outcomes = 1/2.
Q3
Easy
A jar contains 10 cookies, 3 chocolate and 7 vanilla. What is the probability of picking a chocolate cookie?
A. 1/10
B. 3/10
C. 7/10
D. 1/3
Show Answer & Explanation
Correct Answer: B
Probability of picking a chocolate cookie = Number of chocolate cookies / Total cookies = 3/10.
Q4
Medium
A box contains 3 red balls and 5 blue balls. What is the probability of drawing a red ball?
A. 3/8
B. 5/8
C. 1/2
D. 3/5
Show Answer & Explanation
Correct Answer: A
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. Here, the probability of drawing a red ball is 3 (red balls) out of 8 (total balls).
Q5
Medium
Two dice are rolled. What is the probability of getting a sum of 7?
A. 1/6
B. 1/12
C. 5/36
D. 1/36
Show Answer & Explanation
Correct Answer: A
The possible combinations to get a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are 6 favorable outcomes out of 36 total outcomes when rolling two dice.
Q6
Medium
A jar contains 4 green and 6 yellow marbles. If one marble is picked at random, what is the probability that it is yellow?
A. 2/5
B. 3/5
C. 6/10
D. 4/10
Show Answer & Explanation
Correct Answer: B
The probability of picking a yellow marble is the number of yellow marbles (6) divided by the total number of marbles (10).
Q7
Medium
If the probability of rain is 0.3, what is the probability that it will not rain?
A. 0.7
B. 0.3
C. 1.0
D. 0.5
Show Answer & Explanation
Correct Answer: A
The probability of not raining is the complement of the probability of it raining. If the chance of rain is 0.3, then the chance of no rain is 1 - 0.3 = 0.7.
Q8
Hard
If two dice are rolled, what is the probability that the sum of the numbers on the dice is 8?
A. 1/6
B. 5/36
C. 1/12
D. 1/9
Show Answer & Explanation
Correct Answer: B
The combinations for achieving a sum of 8 are (2,6), (3,5), (4,4), (5,3), and (6,2). Thus, there are 5 favorable outcomes out of 36 possible outcomes.
Q9
Hard
A jar contains 6 yellow, 4 green, and 5 blue marbles. What is the probability of picking a green marble?
A. 1/15
B. 4/15
C. 2/15
D. 1/5
Show Answer & Explanation
Correct Answer: B
The total number of marbles is 15. The probability of picking a green marble is the number of green marbles divided by the total number of marbles, which is 4/15.
Q10
Hard
What is the probability of rolling a total of 9 with two dice?
A. 1/6
B. 4/36
C. 5/36
D. 1/9
Show Answer & Explanation
Correct Answer: C
The combinations to roll a total of 9 are (3,6), (4,5), (5,4), (6,3). There are 4 favorable outcomes out of 36 total outcomes.

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Probability — Class 10 Mathematics Practice Questions Online

This page contains 1481 practice MCQs for the chapter Probability in Class 10 Mathematics. The questions are organized by difficulty — 561 easy, 729 medium, 191 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.