Question

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. What is the probability that the ball drawn is red?

• A. $\frac{3}{15}$
• B. $\frac{7}{15}$
• C. 1
• D. $\frac{5}{15}$

Answer 1

The correct option is B $\frac{7}{15}$

Number of black balls = 5
Number of red balls = 7
Number of white balls = 3
$\therefore$ Total number of balls in the bag = 5 + 7 + 3 = 15
As, drawing a ball from the bag are equally likely events, total number of outcomes = 15
Let $E_1$ represents event of drawing a red ball
$\therefore P\left(E_1\right)=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes}=\frac{7}{15}$