Probability of Selecting Umbrella and Shaving Kit

D

There are 5 types of gifts. The probability of choosing an umbrella first is 1/5. Then the probability of choosing a shaving kit from the remaining four gifts is 1/4. So

1/5*1/4 = 1/20 = 0.05.

To determine the probability of selecting an umbrella and a shaving kit in that order when purchasing an 8 ounce bottle of Allure, we need to consider the number of favorable outcomes and the total number of possible outcomes.

First, let's list the given options for the free gifts:

1. Umbrella
2. 1 ounce bottle of Midnight
3. Feminine shaving kit
4. Raincoat
5. Pair of rain boots

We are interested in the probability of selecting an umbrella and a shaving kit in that order. Since we are selecting two items in a specific order, we need to consider the number of ways these two items can be arranged.

The probability of selecting the first item, which is an umbrella, is 1 out of 5, as there are 5 options in total.

After selecting the umbrella, there are 4 remaining options. The probability of selecting the second item, which is a shaving kit, is 1 out of 4, as there are 4 options remaining.

To find the probability of both events happening in sequence, we multiply the individual probabilities together:

Probability of selecting an umbrella = 1/5 Probability of selecting a shaving kit after selecting an umbrella = 1/4

Probability of selecting an umbrella and a shaving kit in that order = (1/5) * (1/4) = 1/20 = 0.05

Therefore, the probability of selecting an umbrella and a shaving kit in that order, when purchasing an 8 ounce bottle of Allure, is 0.05.

The correct answer is option D: 0.05.