1000 families with 2 children were selected randomly , and the following data were recorded :-
Number of boys in a family = 0 1 2 Number of families = 140 560 300 If a family is chosen at random , find the probability that it has :-
( i ) NO BOY ( iii ) TWO BOYS ( v ) AT MOST ONE BOY .
( ii ) ONE BOY ( iv ) AT LEAST 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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