JEE Main 2019MathematicsProbabilityEasyMCQ

JEE Main 2019Probability Question with Solution

JEE Main 2019 (10 Apr Shift 1)

Question

Assume that each born child is equally likely to be a boy or girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C111

Step-by-step explanation

Family has four children in total.

 Total number of ways in which at least two girls are there

is 4C2+4C3+4C4=11

Favourable case in which all are girls is =1

 P=111

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Probability chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2019, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.