Question

A bouquet of flowers has pink roses, red roses and yellow tulips. The probability of selecting a pink rose is 14. What is the probability of not selecting a pink rose?

Answer 1

`(3)/(4)`

Explanation:

Given an event A

The probability of A occurring + The probability of A not occurring=1

or we can say:

P(A)+P(
`A^c`)=1, where
`A^c` is the complement of A.

In the given problem, if the probability of selecting a pink rose is 1/4.

(I want to presume its 1/4 not 14 since probability cannot be greater than 1)

We then have:

P(selecting a pink rose) + P(not selecting a pink rose)=1

P(not selecting a pink rose)=1-P(selecting a pink rose)

`=1-(1)/(4)\\\\=(3)/(4)`