Question

P(A and B)

Hint:
Find P (Senior Boy)
P(B)
Classroom of Students
Boys Girls
Freshman 4
4 8
Sophomore 5 7 12
[?]
Junior 2 3 5
Senior 1
4 5
12 18
Please help :(

Answer 1

1/12

Explanation:

Answer 2

`(1)/(12)`

Explanation:

Number of boys = 12

Number of girls = 18

Total number of students = 12 + 18 = 30

Probability refers to chances of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of possible outcomes

To find P(Senior | Boy), use
`P(A|B)=(P(A\,\,and\,\,B))/(P(B))`

P(Senior and Boy) =
`(1)/(30)`

P(Boy) =
`(12)/(30)`

So,

P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) =
`((1)/(30) )/((12)/(30) ) =(1)/(12)`