Out of 5 girls and 3 boys, a total of 4 children are to be randomly selected for a quiz contest. What is the probability that all the four children are girls?
The total number of ways in which 4 children can be selected is $$^8C_4 = 70$$
The number of favorable ways in which this can be done is $$^5C_4 = 5$$
Hence, the required number of ways equals $$\frac{5}{70} = \frac{1}{14}$$
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