Since the ratio of boys to girls is 4:3, then to know how many boys there are, we will multiply the ratio of boys to 9.

Therefore, there are 36 boys.
Do the same for girls.
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The formula is 4/3 times pi times radius cubed. The radius is 9. 4/3 is 1.33. 3.14 times 9 cubed is 81 times 3.14. That is 254.34. 1.33 times 254.34 is 338.2722. That rounds to 338.
66% of the students are female AND study with Carl,
That means that (66% female) ÷ (80 % of all students) = 82.5% of Carl's yoga students are female.
The probability, therefore of that a randomly selected student of Carl's is female is
D) .83