Angus goes to one of two coffee shops in his home town. He goes to Tarbucks 64 % of the time and otherwise goes to Costly Coffee. Either way, he buys a latte 67 % of the time, regardless of which place he chose.

Part 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?


Part b)
Are the two events that gave the joint probability in (a) independent of each other?

A. No
B. Yes


Part c)
Given that Angus had a latte in town, what is the probability (to 3 decimal places) that he drank at Costly Coffee?


Part d)
What is the probability (to 3 decimal places) that Angus went to Tarbucks or had a latte or both?