Q. 24.6( 263 Votes )

1500 families with 2 children were selected randomly, and the following data were recorded:


Compute the probability of a family, chosen at random, having

(i) 2 girls

(ii) 1 girl

(iii) No girl

Also check whether the sum of these probabilities is 1.

Answer :

Total number of families = 1500

(i) Numbers of families having two girls = 475


The probability of families having two girls will be,



(ii) Number of families having one girl = 814


The probability of families having one girl will be,



(iii) Number of families having zero girls = 211


The probability of families having zero girls will be,



Sum of probabilities



Hence,


Yes, the sum of these probabilities is 1.

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