Question

How do you find probability in these questions?

Answer 1

`a)\ (8)/(17)`

`b)\ (4)/(11)`

Explanation:

n(S) = 37

n(coffee) = 17

n(small) = 22

n(coffee and small) = 8

`P(coffee\ and\ small)=(n(coffee\ and\ small))/(n(S))=(8)/(37)`

`P(coffee)=(n(coffee))/(n(S))=(17)/(37)`

`P(small)=(n(small))/(n(S)) =(22)/(37)`

a)

`P(small|coffee)=(P(coffee\ and\ small))/(P(coffee))`

`=(8)/(37) /(17)/(37)`

`=(8)/(17)`

b)

`P(coffee|small)=(P(coffee\ and\ small))/(P(small))`

`=(8)/(37) /(22)/(37)`

`=(4)/(11)`