Question

An airline gathers data on late departures and early arrivals over a month. It finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. Which equation shows how to correctly calculate the probability of a late departure or an early arrival?

P(late departure or early arrival) = 0.12 + 0.04

P(late departure or early arrival) = 0.12 + 0.27

P(late departure or early arrival) = 0.12 + 0.27 – 0.04

P(late departure or early arrival) = 0.27 + 0.04 – 0.12


Answer is C: P(late departure or early arrival) = 0.12 + 0.27 – 0.04

Answer 1

answer is C (0.12+0.27-0.12)

Explanation:

Answer 2

Answer: P(late departure or early arrival) = 0.12 + 0.27 – 0.04

Explanation:

Given : The probability of a late departure is 12 %t, the probability of an early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using formula the probability of union of two dependent events A and B:-

`\text{P(A or B)=P(A)+P(B)-P(A and B)}`

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04