Question

1. 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?

f. 0
g. \\(\frac{1}{13}\\)
h. \\(\frac{1}{10}\\)
j. \\(\frac{3}{13}\\)
k. \\(\frac{1}{3}\\)
\\(\bigcirc\\) f
\\(\bigcirc\\) g
\\(\bigcirc\\) h
\\(\bigcirc\\) j

Explanation:

Step1: Count eligible members

Total members: 13; Officers excluded: 3.
Eligible count: $13 - 3 = 10$

Step2: Calculate probability

Samara is 1 eligible member.
Probability: $\frac{\text{Number of favorable outcomes}}{\text{Total eligible outcomes}} = \frac{1}{10}$

Answer:

H. $\frac{1}{10}$