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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 1 by 4. Is this correct? Justify your answer.

In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is  \frac{1}{4} . Is this correct? Justify your answer.

Answers (1)

Answer.   [False]
Solution.    Probability: probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Total children = 3
Cases – GGG, GGB, GBG, BGG, BBB, BBG, BGB, GBB were G is girl and B is boy.
Probability = \frac{Number\, of\, favorable\ cases, }{Total\, number\, of\, cases}
Probability of 0 girl = \frac{1}{8}
Probability of 1 girl = \frac{3}{8}
Probability of 2 girl = \frac{3}{8}
Probability of 3 girl = \frac{1}{8}
Here they are not equal to \frac{1}{4}

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