1500 families with 2 children were selected randomly and the following data were recorded: number of girls in a family: - Maths - Probability

Question

1500 families with 2 children were selected randomly and the
following data were recorded:
number of girls in a family: 0 1 2
frequency: 211 814 475
if a family is chosen at random,compute the probability that it
has:
1 no girl
2 1 girl
3 2 girls
4 at most one girl
5 more girls than boys

Rayya Halim · Accepted Answer

Total number of families = 475 + 814 + 211= 1500

1. P ( 0 girl) = 211/1500

2. P( 1 girl)= 814/1500

3. P( 2 girls)= 475/1500

4. P (at most 1 girl)= P (0 girl) + P ( 1 girl)

$= \frac{211}{1500} + \frac{814}{1500} = \frac{1025}{1500} = \frac{41}{60}$

5. P ( more girls than boys)= P ( 2 girls)

$= \frac{475}{1500} = \frac{19}{60}$

1500 families with 2 children were selected randomly and the following data were recorded: number of girls in a family: 0 1 2 frequency: 211 814 475 if a family is chosen at random,compute the probability that it has: 1. no girl. 2. 1 girl. 3. 2 girls. 4. at most one girl. 5. more girls than boys.