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Out of 5 girls and 3 boys, 4 children are to be randomly selected for a quiz contest. What is the probability that all selected are girls? |
$\frac{2}{17}$ $\frac{1}{7}$ $\frac{5}{17}$ $\frac{1}{14}$ |
$\frac{1}{14}$ |
Total number of ways of selecting 4 children out of 8 = 8C4= (8×7×6×5)/(1×2×3×4) = 70 Number of ways of selecting 4 girls out of 5 =5C4=5 Required probability = 5/70 = 1/14 |
