Verified Solution • 2025–26 Session moderate

QJEEM19Ma4127: JEE Main 2019 Mathematics - Class 12 JEEM19Ma4127 Solution: Assume that each born child is equally likely to be a boy or a…

Assume that each born child is equally likely to be a boy or a 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 :

Multiple Choice Options

  • A 110
  • B 117
  • C 111
  • D 112

Step-by-Step Verified Solution

A = At least two girls

B = All girls

P(BA)=P(B∩A)P(A)

⇒P(B)P(A)=(14)21−4C0(12)4−4C1(12)4

⇒116−1−4=111

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