A bag contains 3 red and 2 white identical balls. lf 2 balls are picked...

WAEC 2004

A bag contains 3 red and 2 white identical balls. lf 2 balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours

A. \(\frac{36}{625}\)
B. \(\frac{16}{625}\)
C. \(\frac{12}{25}\)
D. \(\frac{13}{25}\)

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Correct Answer: Option C

Explanation

Prob(RW or WR) = Prob(RW) + Prob(WR)
\(Prob(R) = \frac{3}{5}:Prob(W) = \frac{2}{5}\\
Prob(RW\hspace{1mm}or\hspace{1mm}WR)=\frac{3}{5}\times\frac{2}{5}+\frac{2}{5}\times \frac{3}{5}\\
\frac{6}{25}+\frac{6}{25}=\frac{12}{25}\)

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