Question

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 1

Let's assume that you do not work during the weekends.
 
Now, P(A) = P(Friday and Day Off) = 12/100 = 6/50
P(B) = P(Friday) = 1/5

P(A given B) = P(A and B) / P(B)
                     =  (6/50) / (1/5)
                     =  0.6

Answer 2

Answer:

The probability that it is your day, off given that today is Friday is 0.6.

Step-by-step explanation:

Given : The probability that it is Friday and your day off is 12%.

To find : What is the probability that it is your day, off given that today is Friday

Solution : Let's assume that you do not work during the weekends.

Now, P(A) = P(Friday and Day Off) = $\frac{12}{100} = \frac{6}{50}$

P(B) = P(Friday) = $\frac{1}{5}$

$P(A given B) = \frac{P(A and B)}{P(B)}$

                       $=\frac{\frac{6}{50}}{\frac{1}{5}}$

                       $=\frac{6}{10}$

                       $=0.6$

Therefore, P(A given B)=0.6

The probability that it is your day, off given that today is Friday is 0.6.