Of all college degrees awarded in the United States, including masters and doctorate degrees, 26 % are associate degrees, 40 % are earned by men, and 10 % are associate degrees earned by men. What is the conditional probability that a degree is earned by a man, given that it is an associate degree? (Enter your answer rounded to three decimal places.)

0.385 is the required conditional probability.    

Step-by-step explanation:

We are given the following in the question:

Percentage of associated degree = 26%

Percentage of degrees earned by men = 40%

Percentage of associate degrees earned by men = 10%

We have to evaluate the conditional property that a degree is earned by a man, given that it is an associate degree.

0.385 is the conditional probability that a degree is earned by a man, given that it is an associate degree.

Conditional Probability = 0.385

Step-by-step explanation:

Let Percentage of associate degrees = P(AD) = 26%

     Percentage of degrees earned by men = P(M) = 40%

     Percentage of associate degrees earned by men = = 10%

Now, conditional probability that a degree is earned by a man, given that it is an associate degree = P(M/AD)

As we know that; P(A/B) =

Similarly, P(M/AD) =   =

                               = 0.385

450 is the final answer! : )