Question

A bag contains 8 red, 2 black and 7 white balls. One ball is drawn at random. The probability that the ball drawn is not white is__.

• A. $\frac{5}{17}$
• B. $\frac{10}{17}$
• C. $\frac{2}{17}$
• D. $\frac{8}{17}$

Answer 1

The correct option is B $\frac{10}{17}$

Total number of balls
= No. of red balls + No. of black balls + No. of white balls= 17
Number of white ball= 7
$\Rightarrow$ P (getting white ball)= $\frac{7}{17}$
For complementary events, $P\left(\overline{E}\right)=1-P\left(E\right)$
$\Rightarrow$ P (not white)= 1 - P(getting white balls)= 1 - $\frac{7}{17}$= $\frac{10}{17}$