Question

Giorgio offers the person who purchases an 8-ounce bottle of Allure two free gifts, chosen from the following: an umbrella, a 1-ounce bottle of Midnight, a feminine shaving kit, a raincoat, or a pair of rain boots. If you purchased Allure, what is the probability you randomly selected an umbrella and a shaving kit in that order? a. 0.20b. 0.00 c. 0.05 d. 1.00

Answer 1

c. 0.05

Explanation:

At the moment of the first selection, there are five possible gifts in total and only one umbrella among them, so the probability of choosing the umbrella is one fifth:

`P(A)=(1)/(5)=0.2`

At the moment of the second selection, there are four possible gifts left and only one shaving kit among them, so the probability of choosing the kit is one fourth:

`P(B)=(1)/(4)=0.25`

The probability of those two events happening in that order is its product:

P = P(A) · P(B) = 0.2 · 0.25 = 0.05