A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours?
Balls were picked without replacement
n( white balls) = 2, n( black balls ) = 3
Total Balls = 2 + 3 = 5 balls
Pr( two balls of different colours ) = WB OR BW
= \(\frac{2}{5} \times \frac{3}{4} + \frac{3}{5} \times \frac{2}{4}\)
= \(\frac{6}{20} + \frac{6}{20}\) = \(\frac{12}{20}\) = \(\frac{3}{5}\)
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