1. A single die is rolled. (a) What is the probability that the number on top is

ID: 3181025 • Letter: 1

Question

1. A single die is rolled.

(a) What is the probability that the number on top is a 3. (Give your answer correct to two decimal places.)

(b) What is the probability that the number on top is an odd number. (Give your answer correct to two decimal places.)

c) What is the probability that the number on top is a number less than 5. (Give your answer correct to two decimal places.)

d)What is the probability that the number on top is a number no greater than 3. (Give your answer correct to two decimal places.)

2. The odds of the Patriots winning next year's Super Bowl are 5 to 17.

(a) What is the probability that the Patriots will win next year's Super Bowl? (Give your answer as a fraction.)

(b) What are the odds against the Patriots winning next year's Super Bowl?

3. A card is randomly selected from an ordinary deck of playing cards. Find

The odds in favor of drawing a face card

The odds against drawing a king

The odds in favor of getting a king

The odds against drawing a diamond

The odds against drawing a face card

The odds in favor of drawing a diamond

The odds in favor of drawing a face card

The odds against drawing a king

The odds in favor of getting a king

The odds against drawing a diamond

The odds against drawing a face card

The odds in favor of drawing a diamond

1. A single die is rolled.

When we roll a die the possible sample space is S={1, 2, 3, 4, 5, 6}

(a) What is the probability that the number on top is a 3. (Give your answer correct to two decimal places.)

Out of six outcomes, one outcome is 3 so the probability that the number on top is a 3 is

P(get 3) = 1/6

(b) What is the probability that the number on top is an odd number. (Give your answer correct to two decimal places.)

Out of 6 outcomes, 3 are odds so

P(odd) = 3/6 = 0.5

c) What is the probability that the number on top is a number less than 5. (Give your answer correct to two decimal places.)

Out of 6 outcomes, 4 are less than 5 so

P(less than 5 ) = 4/6 = 0.6667

d)What is the probability that the number on top is a number no greater than 3. (Give your answer correct to two decimal places.)

Out of 6 outcomes, 3 numbers are less than equal to 3 so

P(not more than 3) = 3/6 = 0.5

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