Question A Day

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The 13-member math club needs to choose a student government representative. They decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Samara, who is a member of the club but NOT an officer, will be chosen?

  1. 0
  2. 1/13
  3. 1/10
  4. 3/13
  5. 1/3

Answer

The correct answer is C.

The number of possible outcomes (that is, the total number of members eligible to be chosen as representative) is 13 - 3 = 10, and the number of favorable outcomes (choosing Samara only) is 1.

The probability of the favorable outcomes is equal to the number of favorable outcomes divided by the number of possible outcomes.

So, the probability of Samara being chosen as representative would be 1/10.