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 › IIT JAM › IIT JAM 2026 › Q53
2 marksStatistics › Probability and Bayes' theorem › Total probability and Bayes' theoremModerateabout 2 min

IIT JAM 2026 Question 53: Probability and Bayes' theorem

The chance of rain on a picnic day is 40%. If it rains, the chance the picnic is 'good and enjoyable' is 30%. If it does not rain, that chance is 80%. The chance (in %) that it was raining, given that the picnic was 'good and enjoyable', is ________ (in integer).

Answer and worked solution

Checking your account…

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

What this question tests

This question is on Total probability and Bayes' theorem, part of Probability and Bayes' theorem in Statistics.

Reversing a conditional probability and updating beliefs from evidence.

TestStop has 22 past-paper questions on this subtopic.

Take this paper as a timed mockMore on Total probability and Bayes' theorem

Similar questions from other papers

  • CUET-PG 2026 · Q21Conditional Probability can be calculated by
  • 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…
  • UGC-NET 2025 · Q73A candidate is selected for interview for three posts. For the first post there are 3 candidates, for the second 4 candidates and for the third 2 candidates. What is…

Question from the IIT JAM 2026 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.