In: Statistics and Probability
Consider the experiment of rolling two dice and the following events:
A: 'The sum of the dice is 8' and B: 'The first die is an odd number' and C: "The difference (absolute value) of the dice is 2"
Find (a) p(A and B) (HINT: You cannot assume these are independent events.)
(b) p(A or B)
(c) Are A and B mutually exclusive events? Explain.
(d) Are A and B independent events? Explain.
(e) Are B and C independent events? Explain.