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in Class IX Maths by (-12,631 points)

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

Compute the probability of family, chosen at random, having 

(i) 2 girls, (ii)1 girl, (iii) No girl.

Also check whether the sum of these probabilities is 1.

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1 Answer

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(i) P (a family having 2 girls) = Number of families having 2 girls/Total number of families

= 475/1500 = 19/60

(ii) P (a family having 1 girl) = Number of families having 1 girl/Total number of families

=  814/1500 = 407/750

(iii) P (a family having no girl) = Number of families having no girl/Total number of families

=  211/1500 

Sum of probabilities = 475/1500 +  814/1500 + 211/1500 = 1500/1500 = 1

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