Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › CUET-PG › CUET-PG 2019 › Q63
4 marks, −1Statistics › Probability and Bayes' theorem › Addition rule, complements and inclusion-exclusionModerateabout 1 min

CUET-PG 2019 Question 63: Probability and Bayes' theorem

Let A and B be two events with P(A)=0.25P(A)=0.25P(A)=0.25 and P(B)=0.5P(B)=0.5P(B)=0.5. The probability of both occurring together is 0.14. Then the probability of both A and B not happening is

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

Let A and B be two events with P(A)=0.25 and P(B)=0.5. The probability of both occurring together is 0.14. Then the probability of both A and B not happening is (A) 0.39 (B) 0.25 (C) 0.11 (D) 0.61

Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.

What this question tests

This question is on Addition rule, complements and inclusion-exclusion, part of Probability and Bayes' theorem in Statistics.

The probability of at least one of several events, and of none.

TestStop has 30 past-paper questions on this subtopic; the nearest in year are below.

  • GATE 2021 · Q21Let A and B be two events with probabilities P(A)=3/4 and P(B)=1/3; then which of the following options is…
  • IIT JAM 2021 · Q41Three independent rolls of a fair die determine winnings: Rs. 800 for three sixes, Rs. 400 for two sixes…
Take this paper as a timed mockMore on Addition rule, complements and inclusion-exclusion

Similar questions from other papers

  • CUET-PG 2026 · Q21Conditional Probability can be calculated by
  • IIT JAM 2026 · Q11In a year of 366 days, what is the chance that three persons have different birthdays?
  • CUET-PG 2025 · Q19If we twice flip a balanced coin, what is the probability of getting at least one head?
  • IIT JAM 2025 · Q42Two cards are drawn from a full pack of 52 cards at random. The probability of getting a heart and a diamond is (*rounded off to two decimal places*).
  • UGC-NET 2025 · Q28In a population of men in a city, 3% are observed to suffer from cancer, 15% are found to be smokers, while 10% are noticed to be either smokers or cancer patients. If…

Question from the CUET-PG 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.