Exam 9: Probability

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FIGURE 1.  FIGURE 1.   Refer to Figure 1. What is the expectation for the $  2  double-number bet on a U.S. roulette wheel? Round the answer to the nearest hundredth. Refer to Figure 1. What is the expectation for the $ 22 double-number bet on a U.S. roulette wheel? Round the answer to the nearest hundredth.

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For the spinners in the figure below, assume that the pointer can never lie on a border line. Find P(D)P ( D ) Give your answer as a fraction.  For the spinners in the figure below, assume that the pointer can never lie on a border line. Find  P ( D )  Give your answer as a fraction.

(Short Answer)
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A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below.   Find the probability P(heart and a jack). Give your answer as a fraction. Find the probability P(heart and a jack). Give your answer as a fraction.

(Short Answer)
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On a single roll of a pair of dice, what is the probability that the sum is 6, given that at least one die came up 1?

(Multiple Choice)
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How many shirt-blouse outfits can a woman wear if she has 5 skirts and 6 blouses?

(Multiple Choice)
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Use the results of the fruit fly experiment in the table to find the probability (rounded to the nearest hundredth). cellpadding = = "0" cellspacing ="0 =" 0 " width ="66% =" 66 \% " border ">=0"> =0 "> Fruitflies after Radiation Exposure Mutated Normal Total Male 181 158 339 Female 241 420 661 Total 422 578 1,000 __________

(Multiple Choice)
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In your own words, define and contrast odds, probability, and conditional probability.

(Short Answer)
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A single card is drawn from a standard deck of cards. Find the probability of P( not a face card ∣4)P ( \text { not a face card } \mid 4 ) .

(Multiple Choice)
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FIGURE 1.  FIGURE 1.   Refer to Figure 1. What is the expectation for the $  7  bet on red on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________ Refer to Figure 1. What is the expectation for the $ 77 bet on red on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________

(Short Answer)
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A typical Social Security identification number is 747-61-2313. How many Social Security numbers are possible if the first digit cannot be 0? __________ numbers

(Short Answer)
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FIGURE 1. FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two? Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads and a two?

(Multiple Choice)
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Find P(Bˉ)P( \bar { B } ) if P(B)=0.002P ( B ) = 0.002 . P(Bˉ)P ( \bar { B } ) = __________

(Short Answer)
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Consider the following statement. Answer true or false . P ( A or B ) means P ( A Consider the following statement.  Answer true or false . P ( A or B ) means P ( A   B ) B )

(True/False)
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A magazine subscription service is having a contest in which the prize is $50,000. If the company receives one million entries, what is the expectation of the contest? $ __________

(Short Answer)
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The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) What is the probability of rolling exactly one two with two such dice? Give your answer as a fraction.

(Short Answer)
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FIGURE 2.  FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five:  P \text { (five). }  Give the answer as an exact fraction. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to five: P (five). P \text { (five). } Give the answer as an exact fraction.

(Multiple Choice)
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Find the odds in favor of an event with the following probability: P(E)=110P ( E ) = \frac { 1 } { 10 } _____ to _____

(Short Answer)
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Suppose the odds in favor that a man will be bald by the time he is 40 are 4 to 1. State this as a probability. P(E)=??P ( E ) = \frac { ? } { ? }

(Short Answer)
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Use estimation to select the best response. Do not calculate. Which of the following is less probable?

(Multiple Choice)
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For the spinners in the figure below, assume that the pointer can never lie on a border line. Find P(H)P ( H )  For the spinners in the figure below, assume that the pointer can never lie on a border line. Find  P ( H )

(Multiple Choice)
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