Question

Suppose you have a bag that holds 16 pieces of candy: 5 apple, 5 cream soda, and 6 lemon. You reach into the bag to pull out one piece. Find the probability that the piece you pull out is not lemon favored

Answer 1

The probability that the piece pull out is not lemon flavoured is
`(5)/(8)`

Explanation:

Given:

Number of apple candies = 5

Number of cream soda candies = 5

Number of lemon candies = 6

To Find:

Probability that the piece you pull out is not lemon flavored = ?

Solution:

we have to find the probability that the candy taken is not lemon floavoured.

It means that we are taking out apple and cream soda flavoured candies

P(not taking lemon flavoured candy ) = P(taking apple flavoured candy ) + P( taking cream soda flavoured candy )

P(not taking lemon flavoured candy ) =
`(5)/(16) + (5)/(16)`

P(not taking lemon flavoured candy ) =
`(10)/(16)`

P(not taking lemon flavoured candy ) =
`(5)/(8)`