Question

Out if five girls and three boys, four children are to be randomly selected for contest . What is the probability that all the selected children are girls ?
A. `(1)/(14)`
B. `(1)/(7)`
C. `(5)/(17)`
D. `(2)/(17)`

Answer 1

Correct Answer - A
Total number of ways of selecting 4 children out of 8
`=""^(8)C_(4)=(8xx7xx6xx5)/(1xx2xx3xx4)=70`
Number of ways of selecting 4 girls out of `5=""^(5)C_(4)=5`
Required probabaility `=(5)/(70)=(1)/(14)`