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A bag contains 5 red and 3 black balls. Two balls are drawn without replacement. What is the probability that the two balls are of DIFFERENT colours?

Class 10Probability Word ProblemsStatistics

A $\frac{15}{28}$
B $\frac{13}{28}$
C $\frac{1}{2}$
D $\frac{5}{14}$

Step-by-Step Solution

P(red then black) =

\frac{5}{8} \times \frac{3}{7} = \frac{15}{56}

. P(black then red) =

\frac{3}{8} \times \frac{5}{7} = \frac{15}{56}

. Sum =

\frac{30}{56} = \frac{15}{28}

.

Answer: A)

\frac{15}{28}

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