Question

A box contains 5 blue and 5 white balls. What is the probability of drawing 2 balls such that both are same in color?

Answer 1

the probability is 2/5.

Answer 2

Given: A box contains 5 blue and 5 white balls.

To find: The probability of drawing 2 balls such that both are same in color.

Solution:

In order to draw 2 balls that are both the same in color, both the balls need to be either blue or white. The probability of drawing 2 blue balls is written as follows.

$P(B) = \frac{5}{10}$

         $= \frac{1}{2}$

Similarly, the probability of drawing 2 white balls is written as follows.

$P(B) = \frac{5}{10}$

         $= \frac{1}{2}$

Now, the probability of getting either 2 blue or 2 white balls can be calculated as shown below.

$\frac{1}{2} + \frac{1}{2} = \frac{2}{2}$

         $= 1$

Therefore, the probability of drawing 2 balls such that both are same in color is 1.