The table below shows the distribution of education level attained by US residents by gender based on data collected in the 2010 American Community Survey

(a) What is the probability that a randomly chosen man has at least a Bachelor's degree?

(b) What is the probability that a randomly chosen woman has at least a Bachelor's degree?

(c) What is the probability that a man and a woman getting married both have at least a Bachelor's degree? Note any assumptions you must make to answer this question.

(d) If you made an assumption in part (c), do you think it was reasonable? If you didn't make an assumption, double check your earlier answer and then return to this part.

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Less than 9th grade 9th to 12th grade, no diploma Highest HS graduate (or equivalent) education Some college, no degree attained Associate's degree Bachelor's degree Graduate or professional degree Total Gender Male Female 0.07 0.13 0.10 0.09 0.30 0.20 0.22 0.24 0.06 0.16 0.09 1.00 0.08 0.17 0.09 1.00