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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.
(i) Total number of families is 1500.
Number of families that are having 2 girls is 475.
So, the probability of a family, chosen at random, having 2 girls is 475/1500 = 19/60.
(ii) Total number of families is 1500.
Number of families that are having 1 girl is 814.
So, the probability of a family, chosen at random, having 1 girl is 814/1500 = 407/750.
(iii) Total number of families is 1500.
Number of families that are having no girl is 211.
So, the probability of a family, chosen at random, having no girl is 211/1500.
And, 19/60 + 407/750 + 211/1500 = 1.
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