SOLUTION: There are 67 students in a chemistry class. The instructor selects a student at random. Students in a Chemistry Class Males Females Freshmen 10 15 Sophomores 13 3 Jun

Algebra ->  Permutations -> SOLUTION: There are 67 students in a chemistry class. The instructor selects a student at random. Students in a Chemistry Class Males Females Freshmen 10 15 Sophomores 13 3 Jun      Log On


   



Question 608516: There are 67 students in a chemistry class. The instructor selects a student at random.
Students in a Chemistry Class
Males Females
Freshmen 10 15
Sophomores 13 3
Juniors 3 5
Seniors 2 16
a) What is the probability that he chooses a sophomore or a female?


b) What is the probability that he chooses someone who is male and a junior?


c) If a female is selected at random what is the probability that she is a freshmen?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
m f Tot
Fr 10 15 25
So 13 3 16
Jr 3 5 8
Sr 2 16 18
Tot 28 39 highlight%2867%29
a) What is the probability that he chooses a sophomore or a female? 16/67)+ 39/67 - 3/67)= 52/67
b) What is the probability that he chooses someone who is male and a junior? 3/67
c) If a female is selected at random what is the probability that she is a freshmen?
P(A|B) = P(A and B)/P(B)
P(Fr|f)= %2815%2F67%29%2F%2839%2F67%29+=+15%2F39