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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)` Select the correct answer from above options

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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)`

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