Question

1500 families with 2 children were selected randomly , and the following data were recorded
no of girls in a family 2 1 0
no of families 475 814 211
compute the probability of a family, chossen at random ,having
1) 2 girls
2)1 girl
3)no girl

3)no girl

Answer 1

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Answer 2

Answer:

Total numbers of families = 1500

(i) Numbers of families having 2 girls = 475

Probability = Numbers of families having 2 girls/Total numbers of families

= 475/1500 = 19/60

(ii) Numbers of families having 1 girls = 814

Probability = Numbers of families having 1 girls/Total numbers of families

= 814/1500 = 407/750

(iii) Numbers of families having 2 girls = 211

Probability = Numbers of families having 0 girls/Total numbers of families

= 211/1500

Sum of the probability = (19/60)+(407/750)+(211/1500)

= (475+814+211)/1500

= 1500/1500 = 1

Yes, the sum of these probabilities is 1.