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.

Question

Philoid · Accepted Answer

Total number of families = 1500

(i) Numbers of families having two girls = 475

Probability of families having two girls will be,

(ii) Number of families having one girl = 814

Probability of families having one girl will be,

(iii) Number of families having zero girl = 211

Probability of families having zero girl will be,

Sum of probabilities

Hence,

Yes, the sum of these probabilities is 1.

1500 families with 2 children were selected randomly, and the following data were recorded:Number of girls in a family210Number of families475814211Compute the probability of a family, chosen at random, having(i) 2 girls(ii) 1 girl(iii) No girlAlso check whether the sum of these probabilities is 1.