SOLUTION: In a certain city, the distribution of the first-and second - born children of two - child families by gender is shown below. First born Second born Total Female Male

Question 1205781: In a certain city, the distribution of the first-and second - born children of two - child families by gender is shown below.
First born Second born Total
Female Male
Female 530 510 1040
Male 480 430 910
TOTAL 1010 940 1950

a.) A family in this city with two children has a male first- born. What is the probability that its second- born is female? (5 points)
b.) What is the probability that a family with two children selected at random in this city has children of same gender? (5 points)

Answer by premkumarlegend07(1) (Show Source): You can put this solution on YOUR website!
a) Given that, first- born is male.
Now, probability that second- born is female = 480/910 = 0.53
b) probability that a family with two children selected are of same gender
= (530+430)/1950 = 960/1950 = 0.49
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