Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Which expression correctly describes the experimental probability,
P(B), where n(B) is the number of times event B occurred and
n(T) is the total number of trials, T, in the experiment?
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2.
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Raymond has 12 coins in his pocket, and 9 of these coins are quarters. He
reaches into his pocket and pulls out a coin at random. Determine the odds against the coin being a
quarter.
A. | 1 : 4 | B. | 1 : 3 | C. | 3 :
4 | D. | 3 : 1 |
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3.
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The weather forecaster says that there is a 30% probability of fog tomorrow.
Determine the odds against fog.
A. | 3 : 7 | B. | 3 : 10 | C. | 7 :
3 | D. | 7 : 10 |
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4.
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Dora tosses four coins. Determine the probability that at least two coins will
land as heads.
A. | 37.52% | B. | 46.30% | C. | 68.75% | D. | 74.17% |
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5.
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Two dice are rolled. Let A represent rolling a sum greater than 6. Let
B represent rolling a sum that is a multiple of 4. Determine P(A Ç B).
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6.
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Select the events that are mutually exclusive.
A. | Drawing a red card or drawing a diamond from a standard deck of 52 playing
cards. | B. | Rolling a sum of 8 or rolling an even number with a pair of six-sided dice, numbered
1 to 6. | C. | Drawing a black card or drawing a Queen from a standard deck of 52 playing
cards. | D. | Drawing a 3 or drawing an even card from a standard deck of 52 playing
cards. |
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7.
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Samuel rolls two regular six-sided dice. Determine the odds against him rolling
an even sum or an 8.
A. | 1 : 3 | B. | 25 : 11 | C. | 21 :
15 | D. | 1 : 1 |
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8.
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Hilary draws a card from a well-shuffled standard deck of 52 playing cards. Then
she draws another card from the deck without replacing the first card. Determine the probability that
both cards are hearts.
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9.
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Paul has four loonies, three toonies, and five quarters in his pocket. He needs
two quarters for a parking meter. He reaches into his pocket and pulls out two coins at random.
Determine the probability that both coins are quarters.
A. | 15.15% | B. | 19.64% | C. | 26.47% | D. | 32.13% |
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10.
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Two cards are drawn, without being replaced, from a standard deck of 52 playing
cards. Determine the probability of drawing a five then drawing a two.
A. | 0.603% | B. | 1.227% | C. | 1.613% | D. | 2.009% |
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Short Answer
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1.
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A game has three possible outcomes: A, B, and C. If
P(A) = 0.6 and P(B) = 0.2, what is the probability of event
C?
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2.
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Josephine plays ringette. She has scored 3 times in 15 shots on goal. She says
that the odds in favour of her scoring are 1 to 5. Is she right? Explain.
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3.
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Anneliese draws a card from a well-shuffled standard deck of 52 playing cards.
Then she draws another card from the deck without replacing the first card. Determine, to the nearest
tenth of a percent, the probability that both cards are red.
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Problem
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1.
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A survey reported that 29% of households have one or more dogs, 35% have one or
more cats, and 42% have neither dogs nor cats. Suppose that a household is selected at random.
Determine the probability that there are cats but no dogs in the household. Show your work.
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2.
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The probability that a plane will leave Winnipeg on time is 0.80. The
probability that a plane will leave Winnipeg on time and arrive in Calgary on time is 0.42. Determine
the probability that a plane will arrive in Calgary on time, given that it left Winnipeg on time.
Show your work.
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