Question

While investigating customer complaints, the customer relations department of Sonic Air found that 15 percent of the flights arrive early and 25 percent arrive on time. Additionally, 65 percent of the flights are overbooked, and 72 percent are late or not overbooked. One Sonic Air flight will be selected at random. What is the probability that the flight selected will be late and not overbooked?

Answer 1

0.23

Explanation:

Given that while investigating customer complaints, the customer relations department of Sonic Air found that 15 percent of the flights arrive early and 25 percent arrive on time.

i.e. remaining 60% arrive late.

Overbooked = 65%

Hence not overbooked =
`1-0.65 = 35%`%

Late or not overbooked = 72%

Late of not overbooked = Late+not overbooked - both

`72 = 60+35-Both\\Both= 23`

Probability for late and not overbooked = 23% = 0.23