Question

seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. of the tulips, 50 percent are pink.

to the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip?

13%
38%
50%
67%

Explanation:

Calculate the percentage of tulips

Using the Independent Events and Probability Multiplication Rule knowledge points

$$ P(\text{Tulip}) = 100\% - 75\% = 25\% = 0.25 $$

Calculate the probability of a pink tulip

Using the Probability Multiplication Rule knowledge point

$$ P(\text{Pink Tulip}) = P(\text{Tulip}) \times P(\text{Pink} \mid \text{Tulip}) = 0.25 \times 0.50 = 0.125 $$

Convert to nearest whole percent

Using the Probability Multiplication Rule knowledge point

$$ 0.125 \times 100\% = 12.5\% \approx 13\% $$

Answer:

• (A) 13% (Correct answer)
• (B) 38%
• (C) 50%
• (D) 67%