Question

A florist used several different types of flowers to make a bouquet.
lilies 8
roses 1
daffodils 13
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
P(lily)=

Answer 1

To find the probability of randomly selecting a lily from the bouquet, we first need to determine the total number of flowers in the bouquet.

The total number of flowers can be calculated as follows:

\[
\text{Total Flowers} = \text{lilies} + \text{roses} + \text{daffodils} = 8 + 1 + 13 = 22
\]

Now, the probability \( P(\text{lily}) \) is given by the ratio of the number of lilies to the total number of flowers:

\[
P(\text{lily}) = \frac{\text{Number of lilies}}{\text{Total number of flowers}} = \frac{8}{22}
\]

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

\[
P(\text{lily}) = \frac{8 \div 2}{22 \div 2} = \frac{4}{11}
\]

Therefore, the probability that a randomly selected flower will be a lily is

\[
P(\text{lily}) = \frac{4}{11}
\]