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Probability Practice Questions

Class 11 · Mathematics · 1052 free MCQs with instant results and detailed explanations.

1052
Total
451
Easy
471
Medium
130
Hard

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Topics in Probability

Sample Space 400
Events 192
Random Experiments 240
Axiomatic Approach 220

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 8 with two six-sided dice?
A. 5/36
B. 1/6
C. 1/12
D. 1/4
Show Answer & Explanation
Correct Answer: A
There are 5 combinations to get a sum of 8: (2,6), (3,5), (4,4), (5,3), (6,2). The total combinations when rolling two dice is 36, so the probability is 5/36.
Q2
Easy
In a random experiment, if a die is rolled, what is the probability of getting an even number?
A. 1/3
B. 1/2
C. 1/6
D. 2/3
Show Answer & Explanation
Correct Answer: B
There are 3 even numbers (2, 4, 6) out of 6 total outcomes.
Q3
Easy
What is the probability of drawing a heart from a standard deck of cards?
A. 1/4
B. 1/2
C. 1/13
D. 1/52
Show Answer & Explanation
Correct Answer: A
There are 13 hearts in a deck of 52 cards, so the probability is 13/52 = 1/4.
Q4
Medium
In a bag, there are 5 red balls and 3 blue balls. What is the probability of randomly selecting a red ball?
A. 5/8
B. 3/8
C. 1/2
D. 1/3
Show Answer & Explanation
Correct Answer: A
The total number of balls is 5 + 3 = 8. The probability of selecting a red ball is 5/8.
Q5
Medium
Two coins are tossed together. What is the probability of getting at least one head?
A. 1/4
B. 1/2
C. 3/4
D. 1/3
Show Answer & Explanation
Correct Answer: C
The possible outcomes are HH, HT, TH, TT. Only one outcome (TT) does not have a head. Thus, the probability of at least one head is 3/4.
Q6
Medium
A card is drawn from a standard deck of 52 cards. What is the probability that it is a face card?
A. 1/13
B. 3/52
C. 1/17
D. 1/26
Show Answer & Explanation
Correct Answer: A
There are 12 face cards in a deck (3 face cards in each of the 4 suits). The probability is 12/52 = 1/13.
Q7
Medium
If a card is drawn from a deck, what is the probability that it is either a heart or a spade?
A. 1/4
B. 1/2
C. 1/3
D. 2/13
Show Answer & Explanation
Correct Answer: B
There are 13 hearts and 13 spades, totaling 26 favorable outcomes. The probability is 26/52 = 1/2.
Q8
Hard
In a random experiment, a die is rolled twice. What is the probability of getting a sum of 7?
A. 1/6
B. 5/36
C. 1/12
D. 1/36
Show Answer & Explanation
Correct Answer: B
The outcomes that give a sum of 7 when rolling two dice are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). There are 6 favorable outcomes out of 36 possible outcomes.
Q9
Hard
In a game, a player can choose one of three different colors for their token. If they draw a token at random, what is the probability of not drawing a red token if there are 4 red, 6 blue, and 5 green tokens?
A. 11/15
B. 9/15
C. 6/15
D. 4/15
Show Answer & Explanation
Correct Answer: A
The total number of tokens is 15, and the number of non-red tokens is 11 (6 blue + 5 green). Thus, the probability is 11/15.
Q10
Hard
A spinner is divided into 8 equal sections numbered from 1 to 8. What is the probability of landing on an even number?
A. 1/4
B. 1/2
C. 3/8
D. 2/8
Show Answer & Explanation
Correct Answer: B
The even numbers are 2, 4, 6, and 8, totaling 4 favorable outcomes out of 8.

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More Mathematics Chapters

1 Sets
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2 Relations and Functions
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3 Trigonometric Functions
1330 Qs →
4 Principle of Mathematical Induction
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5 Complex Numbers and Quadratic Equations
1122 Qs →
6 Linear Inequalities
1171 Qs →
7 Permutations and Combinations
541 Qs →
8 Binomial Theorem
524 Qs →

Other Class 11 Subjects

⚡ Physics → ⚗️ Chemistry → 🧬 Biology →

Probability — Class 11 Mathematics Practice Questions Online

This page contains 1052 practice MCQs for the chapter Probability in Class 11 Mathematics. The questions are organized by difficulty — 451 easy, 471 medium, 130 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 4 topics, giving you comprehensive coverage of the entire chapter.