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The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between 3:15 PM and 3:35 PM. What is the probability that the doors were unlocked when the delivery van arrived?

A5/6

B5/12

C1/3

D1/6

Verified Answer :

Kianagruber

well we know there is a gap of 2 hours when the delivery van can come

that is the same as 120 minutes

we also know that out of that 120 minutes, 20 minutes the doors will be locked

so we minus this from the total hours it is open

120 - 20 = 100

this means out of 120 minutes there is 100 minutes where the doors will be open

which gives us the probability 100/120

after simplifying this you will get the answer 5/6.

So A. 5/6 is the answer.

The probability that the doors were unlocked when the delivery van arrived is \(\frac{5}{6}\).

What is probability?

The probability is the chance of happening an event or incident.

Here, there is a time duration of 2 hours (= 120 minutes) between which the delivery van arrives at an office every day.

The office doors were locked for 20 minutes.

Therefore, the office doors were open for the rest of (120 - 20) minutes = 100 minutes.

Hence, the probability that the doors were unlocked when the delivery van arrived is \(\frac{100}{120}\) = \(\frac{5}{6}\).

Learn more about probability here: https://brainly.com/question/11234923

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