Question

a desert tray has three slices of cake, three key lime pies, and four ice cream sundaes. What is the probability of the next two customers both select key lime pie?

Answer 1

The probability of the next two customers both select key lime pie is 1/15

Explanation:

No. of slices of cakes = 3

No. of key lime pies = 3

No. of ice cream sundaes = 4

Total deserts = 3+3+4=10

We are supposed to find The probability of the next two customers both select key lime pie

Probability of selecting key lime pie by first customer =
`(3)/(10)`

So,Total deserts =10-1=9

No. of key lime pies = 3-1=2

So,Probability of selecting key lime pie by second customer =
`(2)/(9)`

So,the probability of the next two customers both select key lime pie=
`(3)/(10) * (2)/(9) =(1)/(15)`

Hence the probability of the next two customers both select key lime pie is 1/15