Answer: Since we know that the two variables are independent, we can use the addition rule of probability to find the probability of selecting a student who is either female or a psychology major:
P(female or psychology major) = P(female) + P(psychology major) - P(female and psychology major)
Since the variables are independent, we know that P(female and psychology major) = P(female) x P(psychology major) = 0 x 0.1 = 0.
Therefore:
P(female or psychology major) = 0 + 0.1 - 0 = 0.1
So the probability of randomly selecting a student who is either female or a psychology major is 0.1.
Explanation: