Question

The probability that a dessert sold at a certain café contains strawberries is 26%. The probability that a dessert contains both strawberries and whipped topping is 18%. Find the probability that a randomly chosen strawberry dessert contains whipped topping. Round to the nearest tenth of a percent.

Answer 1

P(Strawberry) = 26% = 0.26
P(Whipped) = x
P(Strawberry and Whipped) = P(Strawberry).P(Whipped) = 18% = 0.18

∴ P(Whipped) = P(Strawberry and Whipped)/P(Strawberry) = 0.18/0.26 = 0.6923 = 69.23%

To nearest tenth,
P(whipped topping) = 69.2%

∴ Probability that a randomly selected desert contains whipped topping is 69.2%.