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and B are independent events. Answer questions (a)-(c) as true or false, then justify your answer. This means that if the events in parts (a)-(c) are independent then show it. If the events in parts (a)-(c) are not independent, then provide the counter example] (a) A and Bc are independent. Hint: Total probability law is useful. (b) Ac and B are independent. (c) Ac and Bc are not independent. Hint: Use results from (

and B are independent events. Answer questions (a)-(c) as true or false, then justify your answer. This means that if the events in parts (a)-(c) are independent then show it. If the events in parts (a)-(c) are not independent, then provide the counter example] (a) A and Bc are independent. Hint: Total probability law is useful. (b) Ac and B are independent. (c) Ac and Bc are not independent. Hint: Use results from (

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A and B are independent events. Answer questions (a)-(c) as true or false, then
justify your answer. This means that if the events in parts (a)-(c) are independent then
show it. If the events in parts (a)-(c) are not independent, then provide the counter example]
(a) A and Bc are independent.
Hint: Total probability law is useful.

(b) Ac and B are independent.

(c) Ac and Bc are not independent.
Hint: Use results from (a) to conclude answers for (b) and (c).

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