Class 10 (CBSE) · Mathematics

Probability

15 practice questions with full step-by-step solutions, plus a concept-first explainer — free, no sign-up.

Read the explainer · 7 minPractise · 15 questions

What you'll learn

A concept-first guide to Class 10 probability: the classical definition, the P(E) formula, sample spaces, the complement rule, and solved dice, coin, and card problems.

Read Probability — The Complete Basics

This chapter has

8
easy
4
medium
3
hard

Probability — solved practice questions

8 Class 10 Mathematics questions with step-by-step solutions. Attempt each, then reveal the answer.

  1. Q1easy

    Probability of an event E is defined as:

    • Afavourable/total outcomes
    • Btotal/favourable outcomes
    • Cfavourable × total
    • Dfavourable − total
    Show answer & solution

    Correct answer: (A) favourable/total outcomes

    P(E) = Number of favourable outcomes / Total number of equally likely outcomes.

  2. Q2easy

    The probability of a certain (sure) event is:

    • A0
    • B0.5
    • C1
    • Dgreater than 1
    Show answer & solution

    Correct answer: (C) 1

    P(certain event) = 1 (it always happens).

  3. Q3easy

    The probability of an impossible event is:

    • A0
    • B1
    • C0.5
    • D−1
    Show answer & solution

    Correct answer: (A) 0

    P(impossible event) = 0 (it never happens).

  4. Q4easy

    If P(E) = 0.35, then P(not E) is:

    • A0.35
    • B0.50
    • C0.65
    • D1.35
    Show answer & solution

    Correct answer: (C) 0.65

    P(not E) = 1 − P(E) = 1 − 0.35 = 0.65.

  5. Q5easy

    A coin is tossed. The probability of getting a head is:

    • A1
    • B1/2
    • C1/4
    • D2
    Show answer & solution

    Correct answer: (B) 1/2

    A fair coin has 2 equally likely outcomes. P(head) = 1/2.

  6. Q6easy

    A fair die is thrown. The probability of getting a 3 is:

    • A1/3
    • B1/2
    • C1/6
    • D3/6
    Show answer & solution

    Correct answer: (C) 1/6

    One favourable outcome (3) out of 6 equally likely outcomes. P(3) = 1/6.

  7. Q7easy

    A fair die is thrown. The probability of getting an even number is:

    • A1/3
    • B1/2
    • C2/3
    • D1/6
    Show answer & solution

    Correct answer: (B) 1/2

    Even numbers: 2, 4, 6 — three outcomes. P = 3/6 = 1/2.

  8. Q8medium

    A card is drawn from a well-shuffled deck of 52 cards. The probability of drawing an ace is:

    • A1/52
    • B4/52
    • C1/13
    • D4/13
    Show answer & solution

    Correct answer: (C) 1/13

    There are 4 aces in 52 cards. P(ace) = 4/52 = 1/13.

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