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?
A. 0
B. 1 / 13
C. 1 / 10
D. 3 / 13
E. 1 / 3
1/10
To calculate the probability that Samara will be chosen as the representative, we need to determine the total number of possible representatives and the number of representatives that Samara can be chosen from.
Since the math club has 13 members and 3 of them are officers, the total number of potential representatives is 13 - 3 = 10.
Since Samara is not one of the officers, the number of representatives that Samara can be chosen from is 1.
Therefore, the probability that Samara will be chosen as the representative is 1/10.
Hence, the correct answer is C. 1/10.
To find the probability that Samara, who is a member of the club but not an officer, will be chosen as the representative, we need to first determine the number of possible outcomes and the number of favorable outcomes.
The number of possible outcomes is the total number of ways to choose a representative from the 13-member math club, which is simply 13.
The number of favorable outcomes is the number of ways to choose a representative from the 13-member club, excluding the 3 officers. Since there are 3 officers, the number of favorable outcomes is 13 - 3 = 10.
Therefore, the probability that Samara will be chosen is the number of favorable outcomes divided by the number of possible outcomes, which is 10/13.
So, the correct answer is C. 1 / 10.