Question

A vase has 4 yellow flowers, 4 red flowers, and 8 blue flowers. Donna took a flower smelled it and put it back ,then took another flower and smelled it. What is the probability that the first flower was red and the second flower was blue?

Answer 1

1/8

Explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8