JEE (Main) Mathematics - STATISTICS AND PROBABILITY Multiple Choice Questions (MCQs)

JEE (Main) Mathematics - Statistics and Probability MCQs

1. If a coin is tossed 3 times, what is the probability of getting exactly 2 heads?
   a) \( \frac{1}{8} \)
   b) \( \frac{3}{8} \)
   c) \( \frac{1}{2} \)
   d) \( \frac{2}{8} \)
   Answer: b) \( \frac{3}{8} \)
2. The mean of the data 3, 7, 8, 5, 12, 6, 15 is:
   a) 8
   b) 9
   c) 10
   d) 7.5
   Answer: a) 8
3. The probability of getting a sum of 7 when two dice are rolled is:
   a) \( \frac{1}{6} \)
   b) \( \frac{1}{36} \)
   c) \( \frac{5}{36} \)
   d) \( \frac{1}{12} \)
   Answer: c) \( \frac{5}{36} \)
4. The variance of the data 2, 4, 6, 8, 10 is:
   a) 8
   b) 5
   c) 10
   d) 4
   Answer: b) 5
5. If the probability of event A is \( P(A) = \frac{3}{5} \), then the probability of event A not occurring is:
   a) \( \frac{2}{5} \)
   b) \( \frac{3}{5} \)
   c) \( \frac{1}{5} \)
   d) \( \frac{4}{5} \)
   Answer: a) \( \frac{2}{5} \)
6. A box contains 4 red, 3 blue, and 5 green balls. What is the probability of drawing a green ball?
   a) \( \frac{5}{12} \)
   b) \( \frac{3}{12} \)
   c) \( \frac{1}{12} \)
   d) \( \frac{4}{12} \)
   Answer: a) \( \frac{5}{12} \)
7. If the mean of a set of observations is 12, and the sum of the observations is 96, then the number of observations is:
   a) 8
   b) 10
   c) 12
   d) 14
   Answer: b) 10
8. The probability of drawing a red card from a standard deck of 52 cards is:
   a) \( \frac{26}{52} \)
   b) \( \frac{1}{2} \)
   c) \( \frac{13}{52} \)
   d) \( \frac{1}{4} \)
   Answer: b) \( \frac{1}{2} \)
9. The median of the data 12, 15, 10, 8, 9, 11, 7 is:
   a) 8
   b) 9
   c) 10
   d) 11
   Answer: b) 9
10. If two events A and B are independent, then the probability of both A and B occurring is:
    a) \( P(A) + P(B) \)
    b) \( P(A) - P(B) \)
    c) \( P(A) \times P(B) \)
    d) \( P(A) \div P(B) \)
    Answer: c) \( P(A) \times P(B) \)
11. The coefficient of variation of a data set is:
    a) The ratio of standard deviation to mean
    b) The ratio of variance to mean
    c) The ratio of mean to variance
    d) The ratio of standard deviation to variance
    Answer: a) The ratio of standard deviation to mean
12. If a die is rolled, what is the probability of getting a number greater than 4?
    a) \( \frac{1}{3} \)
    b) \( \frac{2}{6} \)
    c) \( \frac{1}{2} \)
    d) \( \frac{2}{3} \)
    Answer: a) \( \frac{1}{3} \)
13. In a set of 50 students, the mean marks obtained are 60. If the total marks of 50 students is 3000, then the average marks per student is:
    a) 50
    b) 60
    c) 70
    d) 55
    Answer: b) 60
14. The probability that a randomly selected number from the integers 1 to 20 is divisible by 3 is:
    a) \( \frac{5}{20} \)
    b) \( \frac{6}{20} \)
    c) \( \frac{7}{20} \)
    d) \( \frac{4}{20} \)
    Answer: b) \( \frac{6}{20} \)
15. The standard deviation of the data 4, 9, 11, 7, 5 is:
    a) 3
    b) 2
    c) 4
    d) 5
    Answer: b) 2

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