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A coin is tossed three times. Which of the following is not a simple event?

The event that a head, a tail, and a tail are obtained in the first, the second, and the third toss, respectively.

The outcome consists of three heads.

The event that two heads and one tail are obtained in any order.

A head, a tail, and a head are obtained in the first, the second, and the third toss, respectively.

Let A and B be any two events. Which of the following statements is always true?

Which of the following statements is false?

The intersection of exclusive and exhaustive events is equal to the sample space.

The intersection of the sample space and the empty set is the empty set.

The intersection of exclusive and exhaustive events is equal to the empty set..

The union of exclusive and exhaustive events is equal to the sample spa

A coin is tossed 5 times. Let E be the event that the outcome is 5 heads; E = (H, H, H, H, H).

E' = the complement of E, is

The event of obtaining all tails.

The event of obtaining at least one tail.

The event of obtaining at most one head.

The event of obtaining no tails.

Which of the following is true for events M and N?

                    Neither A nor B is true.

Both A and B are true.

 

a.

The event that a head, a tail, and a tail are obtained in the first, the second, and the third toss, respectively.

 

b.

The outcome consists of three heads.

 

c.

The event that two heads and one tail are obtained in any order.

 

d.

A head, a tail, and a head are obtained in the first, the second, and the third toss, respectively.

 

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