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

ID: 3174462 • Letter: A

Question

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.)

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?

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

a) P(3) = 1/6 =0.17

b) P(odd number) = 3/6 = 0.5

c) P(<5) = 4/6 = 0.67

d) P(not greater than 3) = 3/6 = 0.5

a) P(Patriots winning) = 5/(5+17) = 5/22

b) odd against = 17 to 5

odds in favor of drawing a face card is 12 to 40 = 3 to 10

odds against drawing a king is 48 to 4 = 12 to 1

odds in favor of getting a king is 4 to 48 = 1 to 12

odds against drawing a diamond is 39 to 13 = 3 to 1

odds against drawing a face card is 40 to 12 = 10 to 3

odds in favor of drawing a diamond is 13 to 39 = 1 to 3

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