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In a family, having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is

By admin May 16, 2023

question : 3. In a family, having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is . Is this correct ? Justify your answer.

correct answer : False , this is not correct

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explanation of correct answer :

If we consider boy as B and girl as G

what outcomes are possible = BBB,GGG,BBG,BGB,GBB,GGB,GBG,BGG

Total number of outcomes = 8

keep in mind BBB , all three children are boys , GGG means all three children are girls , BBG means two boys and one girl and so on….

as we know the formula of Probability = favorable outcomes/total outcomes

Probability of $no$ girl is $= 1 / 8$

note : no girls means all boys Probability

Probability of $one$ girl is $= 3 / 8$

note : in three conditions

one

girl possible which are = BBG,BGB,GBB

Probability of

2

girls is

= 3 / 8

note : in three conditions $two$ girls are possible which are = GGB,GBG,BGG

Probability of $3$ girls is $= 1 / 8$

note : three girls condition is 1 that is GGG.

Hence the probability of each is not 1/4 that is why we have marked this statement as incorrect statement or not correct statement.

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