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Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. What is the probability that all of Erica's flights will be on time? А 36% B 66% С 76% D 86%.​

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Since the chance of a flight being on time is 90%. The probability that all of Erica's flights will be on time is B 66%.

To answer the question, we need to know what probability is

What is probability?

This is the likelihood for an event to occur. It is given by

P(event) = number of required outcomes/total number of outcomes

Now, given that Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. So, P(flight) = 90%. Since they are indepent, we multiply their probability.

Probability that all of Erica's flights will be on time

So, the probability that all of Erica's flights will be on time is P(on time) = P(flight) × P(flight) × P(flight) × P(flight)

= [P(flight)]⁴

= (90%)⁴

= (0.9)⁴

= 0.656

≅ 0.66

= 66%

So, the probability that all of Erica's flights will be on time is B 66%.