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1. The odds of the Patriots winning next year\'s Super Bowl are 5 to 17. (a) Wha

ID: 3181046 • Letter: 1

Question

1. 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?

2. 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

3. In an exclusive county club, 68% of the members play bridge and drink champagne. And 83% of members play bridge. If a memeber is selected at random, find the probability the member drinks champagne, given that the member plays bridge. The answer is . (Keep the anwer with two decimal places)

4.In a Calculus class there are 11 freshmen and 15 sophomores; 5 of the sophomores are females, and 8 of the freshmen are males. If a student is selected at random.

The probability of selecting a sophomore male is

5. A single card is drawn from an ordinary deck.

The probability of selecting a sophomore or a male is The probability of selecting a sophomore is The probability of selecting a male is

The probability of selecting a sophomore male is

5. A single card is drawn from an ordinary deck.

The probability of getting a Spade Three is The probability of getting a Three is The probability of getting a Spade is The probability of getting a Spade or a Three is

Explanation / Answer

Solution:-

5)

a) The probability of getting spade three is 0.01923

Number of spade three = 1

Total number of cards =52

The probability of getting spade three = 1/52 = 0.07692

b)The probability of getting three is 0.01923

Number of spade three = 4

Total number of cards = 52

The probability of getting spade three = 4/52 = 0.07692

c)The probability of getting a spade is 0.25

Number of spade three = 13

Total number of cards = 52

The probability of getting spade three = 13/52 = 0.25

d) The probability of getting a Spade or a Three is 0.3077

Number of spade or three = 13 + 4 - 1 = 16

Total number of cards = 52

The probability of getting a Spade or a Three = 16/52 = 0.3077