1000 families with 2 children were selected randomly and the following data were recorded
no of boys 0 1 2
no of families 140 560 300
a family is chosen at random then find the probability that it has
1. no boy
2.one boy
3.2 boys
4.2girls
5.atleast one boy
6.exactly two boys
7.atmost one boy
Answers
Given : 1000 families with 2 children were selected randomly and the following data were recorded
no of boys 0 1 2
no of families 140 560 300
a family is chosen at random
To Find : probability that it has
1. no boy
2.one boy
3.2 boys
4.2girls
5.atleast one boy
6.exactly two boys
7.atmost one boy
Solution:
no of boys no of families
0 140
1 560
2 300
Total 1000
probability that it has no boy = 140/1000 = 0.14
probability that it has 1 boy = 560/1000 = 0.56
probability that it has 2 boys = 300/1000 = 0.3
probability that it has 2 girls = no boys = 0.14
probability that it has atleast 1 boy = 1 boy + 2 boy = 560 + 300 = 860
= 860/1000 = 0.86
probability that it has exactly two boys = 300/1000 = 0.3
probability atmost one boy = no boy + 1 boy = 140 + 560 = 700
= 700/1000
= 0.7
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