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A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is
  • a)
    1/2
  • b)
    5/9
  • c)
    4/9
  • d)
    2/3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A committee of five is to be chosen from a group of 9 people. The prob...
The total number of ways in which 5 person can be chosen out of 9 person is 9C5 = 126
The couple serves the committee in 7C3 * 2C2 = 35 ways
The couple does not serve the committee in
7C5 - 7C2 = 21 ways
Since the couple will either be together or not at all
∴ favourable number of cases = 35 + 21 = 56
∴ required porbability = 56/126 = 4/9
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A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all isa)1/2b)5/9c)4/9d)2/3Correct answer is option 'C'. Can you explain this answer?
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