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

Number of girls in a family
2 1 0

Number of families
475 814 211

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.

Report

Question

Total number of families = 1500

(i) Numbers of families having two girls = 475

Probability of families having two girls will be,

= no. of families having two girls/Total no of families

= 475/1500

= 19/60

(ii) Number of families having one girl = 814

Probability of families having one girl will be,

= no. of families having two girls/Total no of families

= 814/1500

= 107/750

(iii) Number of families having zero girl = 211

Probability of families having zero girl will be,

= no. of families having two girls/Total no of families

= 211/1500

= 19/60 + 407/750 + 211/1500 = 475 + 814 + 211/1500 = 1500/1500

= 1

Yes, the sum of these probabilities is 1.

solved 5

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