imo class 12 probability

Priya and Amit are independently trying to solve a puzzle. The probability Priya solves it is 1/2 and Amit solves it is 1/3. The probability that the puzzle is solved is:

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Priya and Amit are independently trying to solve a puzzle. The probability Priya solves it is 1/2 and Amit solves it is 1/3. The probability that the puzzle is solved is:

  • A. 1/6
  • B. 5/6
  • C. 2/3
  • D. 1/2

Answer: C) 2/3

Explanation: P(solved) = 1 − P(neither solves) = 1 − [P(Priya fails) × P(Amit fails)] = 1 − [(1/2) × (2/3)] = 1 − 1/3 = 2/3.

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