PYQ Vault

Probability

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 6 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 3 times: 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 3 of this type

    7
    Let A and B be two players who are playing the game to hit the target. The probabilities of hitting the target by A and B is 23\frac{2}{3} and 34\frac{3}{4}, respectively. What is the probability that exactly one of them hit the target?

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  2. Question 2

    Asked once: 6 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    8
    The probabilities of solving a problem by three students A, B and C are 37\frac{3}{7}, 59\frac{5}{9} and 15\frac{1}{5}, respectively. The probability that problem will be solved is:

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  3. Question 3

    Asked once: 3 Mar 2023 Tier II (same type asked 3 times) See all 3 of this type

    27
    A speaks the truth 5 out of 7 times and B speaks truth 8 out of 9 times. What is the probability that they contradict each other in stating the same fact?

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  4. Question 4

    Asked once: 26 Oct 2023 Tier II

    13
    Three cards are drawn one after another with replacement from a pack of cards. What is the probability of getting first card a Jack, second card a black card, and third card an even numbered card?

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  5. Question 5

    Asked once: 7 Mar 2023 Tier II

    3
    A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will hit the target twice?

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  6. Question 6

    Asked once: 2 Mar 2023 Tier II

    6
    A glass jar contains 6 white, 8 black, 4 red and 3 blue marbles. If a single marble is chosen at random from the jar, what is the probability that it is black or blue?

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