A fair die is rolled and the following events are considered:

Question

Question

1) A fair die is rolled and the following events are considered:

A is the event that the outcome is an even.

B is the event that the outcome is no more than2.

C is the event that the outcome is greater than or equal to 4.

Answer the following questions:

(a) List the sample space and events A, B and C.

(b) Find P(A), P(B) ad P(C)

(c) Are A and B independent? Show your work.

(d) Are A and C independent? Show your work.

(e) Find the probability of B given C. Show your work.

2) For the following statements, identify whether they are true or false:

(a) Two independent events are always disjoint.

(b) A density curve should always be greater than zero

(c) Two disjoint events are always independent.

(d) Probability of an event is always greater than zero and less than 1.

Answer 1

Answer #1

Answer 2

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