Answer:
0.63
Explanation:
We have the following information:
The probability of a student being male is 0.45.
The probability of a student having a job off-campus is 0.33.
The probability of a student being male and having a job off-campus is 0.15.
Now, we want to find the probability that a student is either male or has an off-campus job.
To do this, we add the probability of being male (0.45) to the probability of having an off-campus job (0.33). However, we need to be careful not to count the students who are both male and have an off-campus job twice. So, we subtract the probability of being male and having an off-campus job (0.15) once.
By doing this, we account for all the possible cases and get the probability that a student is either male or has an off-campus job.
Calculating the values:
P(Male or Off-campus job) = P(Male) + P(Off-campus job) - P(Male and Off-campus job)
= 0.45 + 0.33 - 0.15
= 0.63
Therefore, the probability that a student chosen at random from the college is male or has an off-campus job is 0.63.
Hope this helps!