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1500 families with 2 children were selec...

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

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

Text Solution

Verified by Experts

(i) Number of families having 2 girls =`475`Total families =`475+814+211=1500`
P(2 girls) = `(475)`/(total families)
`475/1500=19/60`
2)P(1girl)=`814/1500=407/750`
3)p(no girl)=`211/1500`
sum of all probabilities=`19/60+407/750+211/1500`
`1500/1500=1` ​
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