Bayes Theorem

Suppose we know:

$30\%$ of students study Java, $80\%$ of these find internships.

$45\%$ of students study Python, $90\%$ of these find internships.

$15\%$ of students study SQL$,95\%$ of these find internships.

$10\%$ of students study Pascal, $5\%$ of these find internships.

a$)$ Draw the Tree

b$)$ What is the probability of finding an internship?

c$)$ What is the probability of a student with an internship studied Python?