Angus goes to one of two coffee shops in his home town. He goes to Tarbucks 67 % of the time and otherwise goes to Costly Coffee. Either way, he buys a latte 60 % of the time, regardless of which place he chose.

a. You are told that Angus went into town for a coffee today. What is the probability (to 3 decimal places) that he had a latte at Tarbucks?
b. Define two events as follows:
L = Angus had a latte
T = Angus went to Tarbucks
Are the two events independent?

1. Yes
2. No

c. Given that Angus had a latte in town, what is the probability (to 3 d. p.) that he drank at Costly Coffee?
d. What is the probability (to 3 d. p.) that Angus went to Tarbucks or had a latte or both?