I need help with a question 10 (a), (b), (c)

9. Suppose 6 men and 6 women attend a party. The host wants to select some of the 12 guests to play a game. (a) If the host chooses two guests at random, what is the probability of choosing two women? (a) If the host chooses two guests at random, what is the probability of choosing one man and one woman? (c) If the host chooses four guests at random, what is the probability of choosing two women and two men? You should get 5/11. 10. At a university there are 300 first year computing majors. Suppose 100 can program in Python, 60 can program in Java, 80 can program in C++, 20 can program in Python and Java, 20 can program in Java and C++, 10 can program in Python and C++ and none can program in all three languages. (a) If a student is selected at random, what is the probability that they can program in exactly 2 languages. (b) If a student is selected at random, what is the probability that they can only program in Python? (c) If two students are picked at random, what is the probability they can both program in Java? Hint: use a Venn diagram. 11. Let S be a finite sample space and A, B and C be subsets of S. (a) In class we showed that Pr(AUB) = Pr(A) + Pr(B) - Pr(An B). eralize this to find a for