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MHT CET20244 May 2024Evening ShiftMathematicsProbabilityActual

A man and his wife appear for an interview for two posts. The probability of the husband's selection is 1 7 . and that of the wife's selection is 1 5 . If they appear for the interview independently, then the probability that only one of them is selected, is

Options

  1. A1 7
  2. B2 7
  3. C6 7
  4. D4 7

Correct answer

B. 2 7

Step-by-step solution

The probability of husband is not selected =1- 1 7 = 6 7 The probability that wife is not selected =1- 1 5 = 4 5 The probability that only husband selected = 1 7 4 5 = 4 35 The probability that only wife selected = 1 5 6 7 = 6 35 aligned Hence, required probability & = 6 35 + 4 35 = 10 35 & = 2 7 aligned

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