NMAT Probability MCQs with Solutions: Practice NMAT Previous Year Questions (PYQs)

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Chanpreet Kaur

Content Writer | MBA Professional | Updated on - Nov 28, 2025

Probability is an important topic in the Quantitative Aptitude section in NMAT exam. Practising this topic will increase your score overall and make your conceptual grip on NMAT exam stronger.

This article gives you a full set of NMAT Probability MCQs with explanations and NMAT previous year questions (PYQs) for effective practice. Practice of Quantitative Aptitude MCQs including Probability questions regularly will improve accuracy, speed, and confidence in the NMAT 2025 exam.

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NMAT Probability MCQs with Solutions

  • 1.
    There are 20 girls and 15 boys in a class. 1/5 of the girls and 2/5 of the boys bring their lunch from home. One of the students who brings lunch from home is chosen at random. Find the probability that the student is a girl.

      • 1/3
      • 2/3
      • 1/2
      • 2/5
      • 1/4

    • 2.
      If the odds in favour of an event A are 3 : 4 and the odds against another independent event B are 7 : 4, find the probability that at least one of the events will happen.

        • 7/18
        • 7/11
        • 5/8
        • 8/19

      • 3.
        What is the probability that in three throws of a dice, one gets exactly two 6s?

          • \( \frac{1}{18} \)
          • \( \frac{5}{72} \)
          • \( \frac{1}{12} \)
          • \( \frac{7}{72} \)
          • \( \frac{1}{24} \)

        • 4.
          Three groups A, B and C are contesting for position on the Board of Directors of a company. The probabilities of their winning are 0.5, 0.3 and 0.2 respectively. If the group A wins the probability of introducing a new position is 0.7 and the corresponding probabilities for group B and C are 0.6 and 0.5 respectively. The probability that a new position introduced is

            • 0.52
            • 0.63
            • 0.74
            • None of the above

          • 5.
            Persons A and B decide to arrive and meet sometime between 7 and 8 pm. Whoever arrives first will wait for ten minutes for the other person. If the other person doesn't turn up inside ten minutes, then the person waiting will leave. What is the probability that they will meet?

              • $\frac{1}{2}$
              • $\frac{1}{6}$
              • $\frac{5}{6}$
              • $\frac{11}{36}$
              • $\frac{25}{36}$

            • 6.
              If A and B are two mutually exclusive events, then

                • \(P(A)<P(\overline B)\)
                • \(P(A)>P(\overline B)\)
                • \(P(A)<P(B)\)
                • None of these

              • 7.
                A biased coin with probability p\(;\) 0\(<\)p\(<\)1 of head is tossed until a head appears for the first time. If the probability that the number of tosses required is even is \(\frac{2}{5}\), then p equals to

                  • \(\frac{1}{5}\)
                  • \(\frac{2}{3}\)
                  • \(\frac{2}{5}\)
                  • \(\frac{3}{5}\)

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