5.46 Checking independence In each of three independent visits to a restaurant, you choose randomly between two of today’s specials, TS1 and TS2, on the menu. Let A denote

{today’s special on first visit is TS1}, B denote { today’s special on second visit is TS1}, C denote { today’s special on the first two visits are TS1}, and D denote {today’s special on the three visits are TS1}.

a. Find the probabilities of A, B, C, and D.

b. Which, if any, pairs of these events are independent?

Explain.