Home › Mathematics › Probability

Probability — Mathematics Questions & Practice

Practise 118 Probability questions from Mathematics for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

118 questions · 0 quizzes · free to start

Practice questions on Probability — with answers

Try each question first, then open the answer. Explanations are included.

1. A die is thrown once. What is the probability of getting an even number?

  1. A1/6
  2. B1/3
  3. C1/2
  4. D2/3
Show answer

Answer: C

Even numbers on a die: 2,4,6 (3 out of 6). Probability=3/6=1/2.

2. A card is drawn from a well-shuffled deck of 52 cards. What is the probability that it is an ace?

  1. A1/13
  2. B1/12
  3. C1/26
  4. D4/13
Show answer

Answer: A

There are 4 aces in 52 cards. Probability=4/52=1/13.

3. Two dice are thrown together. What is the probability that the sum of the numbers is 7?

  1. A1/6
  2. B1/9
  3. C5/36
  4. D1/12
Show answer

Answer: A

Ways to get sum 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)=6 ways out of 36. Probability=6/36=1/6.

4. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball?

  1. A3/8
  2. B5/8
  3. C1/2
  4. D5/3
Show answer

Answer: B

Probability=Number of red balls/Total balls=5/8.

5. A coin is tossed twice. What is the probability of getting at least one head?

  1. A1/4
  2. B1/2
  3. C3/4
  4. D1
Show answer

Answer: C

P(no head)=1/4 (TT). P(at least one head)=1-1/4=3/4.

Practise more Probability questions

More Mathematics topics