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?

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%.

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.