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. 0.20 b. 0.00c. 0.05d. 1.00

Respuesta :

Answer:

P(T) = 1/20 = 0.05

The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05

Step-by-step explanation:

The probability of randomly selecting an umbrella and a shaving kit in that order.

P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)

P(U) = 1/5 (1 umbrella out of five possible gifts)

P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)

P(T) = 1/5 × 1/4

P(T) = 1/20 = 0.05

The probability that a person will select an umbrella and a shaving kit in that order is 1/20.

The following can be deduced from the information given:

P(U) = 1/5 (1 umbrella out of five possible gifts)

P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)

Therefore, the probability that a person will select an umbrella and a shaving kit in that order will be:

P(T) = 1/5 × 1/4

P(T) = 1/20 = 0.05

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