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Introduction To Mathematical Modelling

Question
CBSEENMA9004002

1500 families with 2 children were released randomly and the following data was recorded:

No. of girls

No. of families

0

1

2

211

814

475

If a family is chosen at random, find the probability that it has

(i)  at most one girl
(ii)  at least one girl 

Solution

Total number of families = 1500

(i) at most one girl means 0 girl or 1 girl.
∴ Number of families which have at most one girl
= 211 +814= 1015
∴Probability that it has at most one girl
equals 1015 over 1500 equals 203 over 300

(ii) at least one girl means 1 girls or 2 girls.

∴ Number of families which have at least one girl
= 814 + 475 = 1289
∴ Probability that it has at least one girl
equals 1289 over 1500.