A committee of 5 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

Explanation: Case 1: Both members of the couple are included in the committee. If the couple is included, we need to choose the remaining members from the remaining people. Case 2: Neither member of the couple is included in the committee. If the couple is excluded, we must choose all 5 members from the remaining people. Total Favorable Ways: Required Probability: Dividing both numerator and denominator by 14: Correct Option: (D)

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