Question

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:

 white

Answer 1

\[\text{ Number of red balls } = 4\]
\[\text{ Number of black balls } = 5\]
\[\text{ Number of white balls } = 6\]
\[\text{ Total number of balls in the bag } = 4 + 5 + 6 = 15\]
\[\text{ Therefore, the total number of cases is } 15 . \]

\[\text{ Let A denote the event of getting a white ball } . \]
\[\text{ Number of favourable outcomes. number of white balls } =6\]
\[P\left( A \right) = \frac{\text{ Number of favourable outcomes }}{\text{ Total number of outcomes }} = \frac{6}{15} = \frac{2}{5}\]