In a healthcare survey by a state government to study the mall nutritional problems in
children, 100 families with 2 children were selected randomly from a town and the following
data were recorded.
No. of girls in a family 2 1 0
No. of families 32 24 44
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Step-by-step explanation:
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, chosen at random, having
(i) 2 girls
(ii) 1 girl
(iii) No girl
Also check whether the sum of these probabilities is 1.
Medium
Solution
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(i) Number of families having 2 girls =475
Total families =475+814+211=1500
P(2 girls) =
Total families
475
=
1500
475
=
60
19
(ii) P(1 girl)=
1500
814
=
750
407
(iii) P(No girl) =
1500
211
Sum of all these probabilities
=
60
19
+
750
407
+
1500
211
=
1500
475+814+211
=
1500
1500
=1
Sum of these probabilities =1
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