Question

A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1 over 9, and the probability of randomly pulling out a strawberry candy is 3 over 9, what is the probability of randomly pulling out a pineapple candy?

Answer 1

To find this add 3 and 1 together.  This gives you 4.  Then, you subtract 4 from 9.  The answer is 5.  Therefore, the probability to pull out a pineapple candy would be 5/9.

Answer 2

The probability of randomly pulling out a pineapple candy is:

`(5)/(9)`

Explanation:

There are three flavors in a ice cream namely:

orange, strawberry, and pineapple.

We know that for any three events in a single experiment the sum of the probability of three events is equal to 1.

i.e. if A, B and C are three events and P denotes the probability of an event then:

P(A)+P(B)+P(C)=1

Here let A= flavor is orange

B= flavor is strawberry

and C= flavor is pineapple.

and we have:

`P(A)=(1)/(9),\ P(B)=(3)/(9)`

Hence, we have:

`(1)/(9)+(3)/(9)+P(C)=1\\\\\\i.e.\\\\\\(4)/(9)+P(C)=1\\\\\\i.e.\\\\\\P(C)=1-(4)/(9)\\\\\\i.e.\\\\\\P(C)=(9-4)/(9)\\\\i.e.\\\\P(C)=(5)/(9)`