A poll was taken of 10,439 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.

Education Level Male Female Total
High School or Less 2023 3264 5287
Bachelor's Degree 2225 2113 4338
Master's Degree 416 305 721
Ph.D. 45 48 93
Total 4709 5730 10,439

What is the probability that the selected person does not have a Master's degree, given that he is male?.

Answer I have: .0883414738

The name of your class is "Check Work"? That's unusual!

Given that he is male means you have to choose from the male column

Total in the male column is 4709
does not have a Master's degree.

I would assume the other 3 degrees would be okay.... 2023+2225+45

4293/4709 =.9116

or you could find 416/4709 = .08834
which means has a master's degree, but you would have to subtract that value from 1 to get does not have a master's degree to get .9116

To find the probability that the selected person does not have a Master's degree, given that he is male, you can use conditional probability.

First, you need to find the probability of being male without a Master's degree. From the table, you can see that the total number of males is 4709, and the number of males with a Master's degree is 416. So, the number of males without a Master's degree would be 4709 - 416 = 4293.

Next, you can find the probability of being male without a Master's degree by dividing the number of males without a Master's degree by the total number of males:

Probability of being male without a Master's degree = 4293 / 4709

Finally, you can calculate the probability that the selected person does not have a Master's degree, given that he is male. This is the conditional probability:

Probability of not having a Master's degree given that the person is male = (Probability of being male without a Master's degree) / (Probability of being male)

Probability of not having a Master's degree given that the person is male = (4293 / 4709) / (4709 / 10439)

Calculating this expression, you get approximately 0.0883414738, which matches the answer you provided.