SOLUTION: Suppose you only work weekdays. The probability that it is Friday and your day off is 12%. What is the probability that it is your day off given that today is Friday?

Question 1093703: Suppose you only work weekdays. The probability that it is Friday and your day off is 12%. What is the probability that it is your day off given that today is Friday?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
probability it is friday and it's your day off is 12%.

the probability that your work day is friday is 1/5.

the formula for p(a given b) is:

p(a given b) is equal to p(a and b) / p(b)

if you let a be the probability that it is your day off and you let b equal the probability that it is friday, then you get:

p(a and b) = 12% = .12.

p(b) = 1/5 = 20% = .2.

p(a given b) = p(a and b) / p(b) becomes:

p(a given b) = .12 / .2 = .6.

that's what i think the answer is for this problem.

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