Answer: The probability is P = 0.1667 or 16.67%
Step-by-step explanation:
We have 2 slots and 4 possible options.
In the options, we have 2 freshmen and 2 sophomores, and we want to find the probability that the 2 slots are filled with freshmen.
The probability for a freshman to be randomly selected is:
p1 = (number of freshmen)/(number of options) = 2/4 = 1/2
now, for the second selection, we only have 1 freshman and 2 sophomores, so the probability now is:
p2 = 1/3
now, the joint probability of both events happening is equal to the product of the individual probabilities, this is:
P = p1*p2 = (1/3)*(1/2) = 1/6 = 0.1667
if we want the percentage, we must multiply this number by 100%:
P = 0.1667 or 16.67%
