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

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})
Correct Answer: Option C
Explanation

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

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