Question

a florist used several different types of flowers to make a bouquet.
what is the probability that a randomly selected flower will be a lily?
write your answer as a fraction or whole number.
p(lily) =

Explanation:

Step1: Calculate total number of flowers

Total number of flowers = number of lilies + number of roses + number of daffodils. Let the number of lilies be \(x\). But wait, we assume the data is lilies: \(8\), roses: \(1\), daffodils: \(13\). Total \(=8 + 1+13=22\)

Step2: Use probability formula

Probability formula \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (lilies) \(n = 8\), total number of outcomes \(N=22\). So \(P(\text{lily})=\frac{8}{22}\)

Step3: Simplify the fraction

Simplify \(\frac{8}{22}\) by dividing numerator and denominator by 2. \(\frac{8\div2}{22\div2}=\frac{4}{11}\)

Answer:

\(\frac{4}{11}\)