Question

A bag contains 5 white, 7 black and 4 red balls, find the chance that 3 balls drawn at random are all white?

• A. 1/28
• B. 3/16
• C. 1/56
• D. None

Answer 1

The correct option is C

1/56

Total Sample Space: ${}^{16}{C}_3$

Favourable: ${}^5{C}_3$

$P\left(E\right)=\frac{{}^5{C}_3}{{}^{16}{C}_3}=\frac{1}{56}$