Probability Problem #2

Question

There are 5 peaches and 4 nectarines in a bowl. You randomly choose 2 pieces of fruit to pack in your lunch. What is the probability that you choose 2 peaches?

 

Answers-

A: 5/36

B: 5/18

C: 2/5

D: 5/9

Answer 1

there are 9 pieces of fruit

how many ways can you pick 2 pieces of fruit ?

9!/2!(9-2)!

9!/2!(7!)

9*8/2=36 ways to pick 2 pieces of fruit

there are 5 peaches

how many ways can you pick 2 peaches ?

5!/2!(5-2)!

5!/2!(3!)

5*4/2=10 ways to pick 2 peaches

10/36=5/18, which is B.