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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.13 and the probability that the flight will be delayed is 0.06. The probability that it will rain and the flight will be delayed is 0.01. What is the probability that the flight would leave on time when it is raining? Round your answer to the nearest thousandth.

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Answer:

.12

Explanation:

  • Probability that it will rain: .13
  • Probability that the flight will leave on time: 1-.06=.94
  • .13x.94=.12

The probability that the flight would leave on time when it is raining is 0.853.

What is probability?

Probability is a part of mathematics, which calculate the chance of happening of any event.

The probability is assigned as A and B.

[tex]P \dfrac{A}{B} =\dfrac{ P(A and B)}{P(B)}[/tex]

When not raining on time

[tex]\dfrac{0.81 }{ (1 - 0.05)} = 0.853[/tex]

Thus, the  probability that the flight would leave on time when it is raining is 0.853.

Learn more about probability

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