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To find the probability that the flight will be delayed when it is not raining, we will use the formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Where:
- A: Flight is delayed
- B: It is not raining
We know that:
- P(A) = 0.13 (probability that the flight will be delayed)
- P(B) = 1 - P(rain) = 1 - 0.08 = 0.92 (probability that it is not raining)
- P(A and B) = 0.06 (probability that it will rain and the flight will be delayed)
Now we can plug these values into the formula:
P(A|B) = 0.06 / 0.92
P(A|B) ≈ 0.065
Therefore, the probability that the flight would be delayed when it is not raining is approximately 0.065 or 6.5%.