Hello, can you please give a detailed explanation? I will definitely rate. Thank you. Also, please answer only question 7. Thank you.
710 points: Two fair dice are rolled. What is the probability that the number on the first die was at least as large as 5, given that the sum of the two dice was 9? Estimate the probability by doing a simulation in R.
B. 10 points: Suppose that P(A ∩ B) = 0.2, P(A) = 0.6, and P(B) = 0.3.
a) Are A and B mutually exclusive?
b) Are A and B independent?