imo class 12 probability

A bag contains 5 red and 4 black balls. Two balls are drawn successively with replacement. The probability that they are of the same colour is:

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A bag contains 5 red and 4 black balls. Two balls are drawn successively with replacement. The probability that they are of the same colour is:

  • A. 41/81
  • B. 20/81
  • C. 1/2
  • D. 9/18

Answer: A) 41/81

Explanation: P(Red, Red) + P(Black, Black) = (5/9 × 5/9) + (4/9 × 4/9) = 25/81 + 16/81 = 41/81.

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