Question

Among students, a survey found that 30% of students like Eminem and 80% of students like The Dave Matthews Band. Also, 12% of students liked both Eminem and The Dave Matthews Band.

a) What percent of students like The Dave Matthews Band but not Eminem?
b) What percent of students like Eminem but not The Dave Matthews Band?
c) What percent of students like neither Eminem nor The Dave Matthews Band?

Answer 1

E=.3
DM=.8
Both=.12
a) P(DM)-P(Both)
b) P(E)-P(Both)
c) 1-(P(E)+P(DM)-P(both)

Answer 2

What is P?

Answer 3

The probability
so the probability that student will like Eminem is .3
The probability that students will like DM is .8
And the probability that students will like both is .12

Answer 4

Ok so the to find out if the probability that someone will only like DM
We take P(DM) but we subtract the people that like both
SO P(DM) - P(Both)=.8-.12=.68

Answer 5

I see...Thanks a lot !

Answer 6

ok now lets do the same thing for B
P(E) but subtract the people that like both cuzzzzz we only want the people that only like Eminem
P(E)-P(both)=.3-.12=.18

Answer 7

OS literally sucks today ... -.-

Answer 8

LOL why?

Answer 9

What did you get for c? I got .12? is that right?

Answer 10

for C we
Take P(E)+P(DM) but since they overlap we havta subtract the place where it overlaps. This is P(E)+P(DM)-P(both) and that is the shaded in region