Answer:
see below
Step-by-step explanation:
The first step is to make a chart
sophomores juniors
male 6
Female 10
total 15 18
We can fill in the missing pieces
There are 9 female sophomores and 8 male juniors
sophomores juniors
male 6 8
Female 9 10
total 15 18
a. P(junior or male) = number of juniors or males)/ total
The total = 15+18 = 33
The number of juniors = 18 and the sophomore males is 6 (18+6) =24
Do not double count the junior males
P(junior or male) = 24/33 = 8/11
b. P(sophomore or female) = number of sophomores or females)/ total
The total = 15+18 = 33
The number of sophomores = 15 and the junior females is 10 (15+10) =25
Do not double count the sophomore females
P(sophomore or female) = 25/33
c. P(junior and male) = number of juniors and male)/ total
The total = 15+18 = 33
The number of juniors who are male = 8
P(junior and male) = 8/33
d. P(sophomore and female) = number of sophomores and female)/ total
The total = 15+18 = 33
The number of sophomore females = 9
P(sophomore and female) = 9/33=3/11
