There is a 85% chance that you will go to a Eagles concert given that the weather is good. If there is a 60% chance that the weather is good, what is the chance that you go to the concert and the weather is good?

Question

Mathematics

Destinee Whitney

1 February, 22:13

There is a 85% chance that you will go to a Eagles concert given that the weather is good. If there is a 60% chance that the weather is good, what is the chance that you go to the concert and the weather is good?

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Answers (1)

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Justin Shepherd · Answer 1

The probability that you go to the Eagles concert and the weather is good is 51%.

Step-by-step explanation:

1. Let's check the information provided to us to answer the question correctly:

Probability that you will go to a Eagles concert given that the weather is good = 85% = 0.85

Probability that the weather is good = 60% = 0.60

2. What is the probability that you go to the concert and the weather is good?

For answering the question we will use the following formula for dependent events, given that the weather is good:

Probability that you go to the concert and the weather is good = Probability that you will go to a Eagles concert given that the weather is good * Probability that the weather is good

Replacing with the real values, we have:

Probability that you go to the concert and the weather is good = 85% * 60%

Probability that you go to the concert and the weather is good = 0.85 * 0.60 = 0.51

The probability that you go to the Eagles concert and the weather is good is 51%.