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 › DSE › DSE 2019 › Q13
0 marksStatistics › Probability and Bayes' theorem › Conditional probability and the multiplication ruleEasyabout 1 min

DSE 2019 Question 13: Probability and Bayes' theorem

A family has two children and it is known that at least one is a girl. What is the probability that both are girls given that at least one is a girl?

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

A family has two children and it is known that at least one is a girl. What is the probability that both are girls given that at least one is a girl? (A) 1/2 (B) 2/3 (C) 1/3 (D) 3/4

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

What this question tests

This question is on Conditional probability and the multiplication rule, part of Probability and Bayes' theorem in Statistics.

Probabilities that change when you know something has happened.

TestStop has 28 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q24X and Y have joint density f_(X,Y)(x,y) = 6xy for 0 < y ≤ √x ≤ 1 and 0 otherwise. Then the conditional…
Practise Probability and Bayes' theoremMore on Conditional probability and the multiplication rule

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 DSE 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.