Probability · Question 11 · Medium

Probability question 11

The probability that Ritu solves a puzzle is 2/3 and that Sohan solves it is 3/5. If they try independently, what is the probability that the puzzle is solved?

  1. 2/5
  2. 4/5
  3. 11/15
  4. 13/15
Answer and explanation

Answer: D. 13/15

Explanation: It stays unsolved only if both fail: (1/3) × (2/5) = 2/15. So P(solved) = 1 − 2/15 = 13/15.

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