Question

Brent has a shopping bag with 8 similar size containers of yogurt: 2 strawberry, 3 cherry, and 3 raspberry. If he randomly takes 2 yogurt containers from the bag

without replacement, what is the probability that neither will be strawberry yogurt?

Answer 1

Answer:
`(15)/(28)`

Explanation:

Number of strawberry = 2

Number of cherry = 3

Number of = 3

Total number = 8

Brent randomly takes 2 yogurt containers from the bag

without replacement ,we are to find the probability that hat neither will be strawberry yogurt.

Let r represent raspberry and c represents Cherry ,then Bent selection could be :

{ rr , cc , rc , cr}

Calculating this , we have

(
`(3)/(8)` x
`(2)/(7)` ) + (
`(3)/(8)` x
`(2)/(7)` ) + (
`(3)/(8)` x
`(3)/(7)` ) + (
`(3)/(8)` x
`(3)/(7)` )

=
`(30)/(56)`

= 15/28

Therefore , the probability that neither will be strawberry yogurt= 15/28