Boy or Girl Paradox.

Revision en4, by Flight_Cadet_SRIK, 2022-09-28 13:48:00

question link:interviewbit

Supposedly a friend of yours has 2 children and at least one of them is a boy. What is the probability that the other is also a boy?

---------------------------------------------------------------------------------------------------------------------------------------- Their explanation:Byjus

answer according to their approach is 1/3.

My approach:

le the boy child be represented as B and girl as G ,younger child as 2 and elder child as 1.

So total outcomes are:((B1,B2),(B1,G2),(G1,B2),(G1,G2)).

so the known boy can be B1 or B2.

the probability of boy being elder child and he having a brother is (B1,B2)=(1/2)*(1/2).

the the probability of boy being younger child and he having a brother is (B1,B2)=(1/2)*(1/2).

so final probability =1/4+1/4=**1/2**.

OR SIMPLY BOTH ARE INDEPENDENT EVENTS

Tags probability, probabilistic theory

History

 
 
 
 
Revisions
 
 
  Rev. Lang. By When Δ Comment
en4 English Flight_Cadet_SRIK 2022-09-28 13:48:00 7 Tiny change: 'yjus](http://https://by' -> 'yjus](https://by'
en3 English Flight_Cadet_SRIK 2022-09-28 13:32:32 17
en2 English Flight_Cadet_SRIK 2022-09-28 13:28:40 119
en1 English Flight_Cadet_SRIK 2022-09-28 13:26:14 1011 Initial revision (published)