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Greeley [361]
2 years ago
9

If there is an 80% chance of rain and a 50% chance of wind and rain, what is the probability that it is windy, given that it is

rainy? Round your answer to the nearest percent.
Mathematics
2 answers:
ankoles [38]2 years ago
6 0
If the total probability when given it is rainy is 80% and the windy probability among 80% is 50% the total probability is...

50% / 80% = 62.5% ≈ 63%


Pie2 years ago
5 0

Answer:

The conditional probability that it is windy, given that it is rainy is is 63%.

Step-by-step explanation:

It is given that there is 80% chance of rain, that is P(A)=0.80

50%chance of wind and rain, that is P(A∩B)=0.50

Now, the conditional probability that it is windy, given that it is rainy is:

P(B|A)=\frac{P(A{\cap}B)}{P(A)}

P(B|A)=\frac{0.50}{0.80}

P(B|A)=0.625

Thus, the conditional probability that it is windy, given that it is rainy is is 63%.

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