Exam 9: Probability

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Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Other straight flush 36 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Four of a kind 624 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Full house 3,744 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Flush 5,108 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Straight 10,200 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Three of a kind 54,912 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Two pair 123,552 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ One pair 1,098,240 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Other hands 1,302,540 hands  Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal Flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush)   \approx   __________ P (straight flush)   \approx   __________ Find the requested probabilities. Use a calculator. Select the pair of answers closest to the answers on your calculator. P (royal flush) ≈\approx __________ P (straight flush) ≈\approx __________

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FIGURE 1.  FIGURE 1.   Refer to Figure 1. What is the expectation for the $  2  column bet on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________ Refer to Figure 1. What is the expectation for the $ 22 column bet on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________

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A game involves drawing a single card from an ordinary deck. If an ace is drawn, you receive 5050  A game involves drawing a single card from an ordinary deck. If an ace is drawn, you receive  50    cents; if a heart is drawn, you receive  25  cents; if the queen of spades is drawn, you receive $  1  . If the cost of playing is  11  cents, should you play? Answer yes or no . cents; if a heart is drawn, you receive 2525 cents; if the queen of spades is drawn, you receive $ 11 . If the cost of playing is 1111 cents, should you play? Answer yes or no .

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A game involves tossing two coins and receiving 50 cents if they are both tails. What is a fair price to pay for the privilege of playing ? $ __________

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What is the probability of obtaining a sum of at least 6 when rolling a pair of dice?

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A single card is drawn from a standard deck of cards. Find the probability of P( king ∣ red )P ( \text { king } \mid \text { red } ) =  A single card is drawn from a standard deck of cards. Find the probability of  P ( \text { king } \mid \text { red } )  =   . .

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A state issued license plates using the scheme of two letters followed by five digits, and 241 letter arrangements were not allowed. How many plates could it issue?

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FIGURE 3.  FIGURE 3.   Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose?  C  plays  A  __________ (Answer C , A , or either; it s a draw) Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose? CC plays AA __________ (Answer C , A , or either; it s a draw)

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Suppose a restaurant offers the following prix fixe menu: cellpadding="0" cellspacing="0" width="78\%" border Main course prime rib, steak, chicken, filet of sole, Side dish soup, crab cakes Dessert cheesecake, ice cream Beverage coffee, tea, milk How many different dinners can this restaurant serve?

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What are the odds in favor of drawing a seven from an ordinary deck of cards?

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Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being heads?

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What do we mean by "probability," "odds," and "conditional probability"?
Match each definition below with the letter of the corresponding expression.
The ratio of success or failures to the number of possibilities
probability
The ratio of successes to failures or the ratio of failures to successes
conditional probability
The probability of an event, given that an additional event has altered the sample space
odds
Correct Answer:
Verified
Premises:
Responses:
The ratio of success or failures to the number of possibilities
probability
The ratio of successes to failures or the ratio of failures to successes
conditional probability
The probability of an event, given that an additional event has altered the sample space
odds
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FIGURE 1.  FIGURE 1.   Refer to Figure 1. What is the expectation for the $  5  column bet on a U.S. roulette wheel? Round the answer to the nearest hundredth. Refer to Figure 1. What is the expectation for the $ 55 column bet on a U.S. roulette wheel? Round the answer to the nearest hundredth.

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What are a family's odds in favor of having five girls if it has five children? _____ to _____

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A single card is drawn from a standard deck of cards. Find the probability of P( face card|jack )P ( \text { face card|jack } ) = A single card is drawn from a standard deck of cards. Find the probability of  P ( \text { face card|jack } ) =

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Find the odds in favor of an event with the following probability: P(E)=14P ( E ) = \frac { 1 } { 4 } _____ to _____

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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 and having the sum be four or five:  P ( \text { four or five } )  Give your answer as a fraction. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be four or five: P( four or five )P ( \text { four or five } ) Give your answer as a fraction.

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A punch-out card contains 100100 spaces. One space pays $ 100100 , five spaces pay $ 1010 , and the others pay nothing. How much should you pay, to the nearest cent, to punch out one space?

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Find the odds in favor of an event with the following probability: P(E)=0.99P ( E ) = 0.99

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Complete the list. cellpadding="0" cellspacing ="0" width ="34\% " border="0"> Experiment: Tossing a coin Success: heads P (success): P( failure):

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