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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.

AND

In a math class with 26 students, a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?

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aliakashif1100

Answer:

1) 0.853

Explanation!

Use conditional probability.  The probability of event A, given that event B has occurred, is:

P(A|B) = P(A and B) / P(B)

The probability that it is not raining, given that the flight leaves on time, is:

P(not raining | on time) = P(not raining AND on time) / P(on time)

P(not raining | on time) = 0.81 / (1 − 0.05)

P(not raining | on time) = 0.853

2) Ans : 4 / 26 .

Explanation!

No of students who passed the test = 18

No of students who passed the test and completed the assignment = 14

No of students who passed the test but did not complete the examination

= 18 - 4 = 4

Total no of students = 26

Required probability = 4 / 26 .
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