What is the sample space


A prize is hidden at random behind one of three doors. If you pick the correct door, you get the prize that is behind it. You have picked Door 1. Let A be the event "Prize is behind Door 1" Let B be the event "Prize not behind Door 3" Please use information to answer questions.

1. What is the Sample Space?

2. Draw a Venn Diagram displaying the events A and B.

3. What is P(A) 4. What is P(A and B).

4. What is (A l B)? Are the events A and B disjoint, independent, or niether. Please Explain

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