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Multiple Choice. Make sure...

Multiple Choice. Make sure to show work where appropriate.

1) Which of the following events are mutually exclusive?

A) being a mother and being an uncle

B) living in Baltimore and working in Washington, D.C.

C) being a college student and being a high school graduate

D) being a steelworker and being a stamp collector

E) none of these

Solve the problem.

2) A coin is tossed four times and the sequence of heads and tails is observed.

(a) How many different outcomes are possible?

(b) How many different outcomes have exactly three tails?

(c) How many different outcomes have at least one tail?

3) There are five finalists, A, B, C, D, E, in a lottery drawing. Three of them are to be selected to win $10,000 prizes.

(a) What is the sample space for this experiment?

(b) Describe the event "C and E win $10,000 prizes" as a subset of the sample space.

(c) Describe the event "neither A nor B wins a $10,000 prize".

4) Two fair die are rolled. What is the probability that the numbers that appear add to 4?

5) What is the probability of getting either a black card or an ace in one draw from an ordinary deck of 52 cards?

6) Two coins are flipped. You win $2 if either 2 heads or 2 tails turn up: you lose $3 if a head and a tail turn up.

a) What is the expected value of the game?

b) For the game to be fair, how much should you lose if a head and a tail turn up?

1) Which of the following events are mutually exclusive?

A) being a mother and being an uncle

B) living in Baltimore and working in Washington, D.C.

C) being a college student and being a high school graduate

D) being a steelworker and being a stamp collector

E) none of these

Solve the problem.

2) A coin is tossed four times and the sequence of heads and tails is observed.

(a) How many different outcomes are possible?

(b) How many different outcomes have exactly three tails?

(c) How many different outcomes have at least one tail?

3) There are five finalists, A, B, C, D, E, in a lottery drawing. Three of them are to be selected to win $10,000 prizes.

(a) What is the sample space for this experiment?

(b) Describe the event "C and E win $10,000 prizes" as a subset of the sample space.

(c) Describe the event "neither A nor B wins a $10,000 prize".

4) Two fair die are rolled. What is the probability that the numbers that appear add to 4?

5) What is the probability of getting either a black card or an ace in one draw from an ordinary deck of 52 cards?

6) Two coins are flipped. You win $2 if either 2 heads or 2 tails turn up: you lose $3 if a head and a tail turn up.

a) What is the expected value of the game?

b) For the game to be fair, how much should you lose if a head and a tail turn up?

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