Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Given the following probabilities, which event is most likely to
occur?
A. | P(A) = 0.28 | B. | P(B) =  | C. | P(C) = 0.27 | D. | P(D) =  |
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2.
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Nine boys and twelve girls have signed up for a trip. Only six students will be
selected to go on the trip. Determine the number of ways in which there can be more girls than boys
on the trip.
A. | 17 456 | B. | 25 872 | C. | 29
778 | D. | 35 910 |
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3.
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Four boys and three girls will be riding in a van. Only two people will be
selected to sit at the front of the van. Determine the probability that only boys will be sitting at
the front.
A. | 28.57% | B. | 33.45% | C. | 39.06% | D. | 46.91% |
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4.
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Cai tosses four coins. Determine the probability that they are all
tails.
A. | 6.25% | B. | 12.50% | C. | 18.75% | D. | 25.00% |
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5.
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Select the events that are mutually exclusive.
A. | Rolling a sum of 9 or rolling a multiple of 3 with a pair of six-sided dice, numbered
1 to 6. | B. | Drawing a Jack or drawing a face card from a standard deck of 52 playing
cards. | C. | Walking to school or taking the bus to school. | D. | Drawing a 2 or
drawing a spade from a standard deck of 52 playing cards. |
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6.
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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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7.
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Min draws a card from a well-shuffled standard deck of 52 playing cards. Then
she puts the card back in the deck, shuffles again, and draws another card from the deck. Determine
the probability that both cards are face cards.
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8.
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Carlo goes to the gym and does two different cardio workouts each day. His
choices include using a treadmill, a stationary bike, and running the track. Determine the
probability that the next time Carlo goes to the gym will use the stationary bike and then run the
track.
A. | 16.7% | B. | 26.1% | C. | 33.4% | D. | 41.9% |
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9.
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A five-colour spinner is spun, and a die is rolled. Determine the probability
that you spin yellow and roll a 6.
A. | 2.42% | B. | 3.33% | C. | 6.13% | D. | 7.75% |
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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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Ned plays hockey. He has scored 5 times out of 25 shots on goal. He says the
odds in favour of him scoring are 1 : 5. Is he right? Explain.
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2.
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Brian has been awarded a penalty shot in a hockey game. Colby is the goalie.
Brian has scored 4 times in his last 10 penalty shots. Colby has blocked 7 of the last 10 penalty
shots. Determine the odds in favour of Brian scoring, using his data.
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3.
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A computer manufacturer knows that, in a box of 100 computer chips, 2 will be
defective. Eric will draw 2 chips at random, from a box of 100. Determine, to the nearest thousandth,
the probability that Eric will draw 2 non-defective chips.
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Problem
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1.
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A car manufacturer keeps a database of all the cars that are available for sale
at all the dealerships in Western Canada. For model A, the database reports that 36% have heated
leather seats, 41% have a sunroof, and 52% have neither. Determine the probability of a model A car
at a dealership having both heated leather seats and a sunroof. Show your work.
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2.
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On Sunday, the weather forecaster says that there is a 50% chance of freezing
drizzle on Monday and a 30% chance of freezing drizzle on Tuesday. The forecaster also says that
there is a 10% chance of freezing drizzle on both Monday and Tuesday. Determine the probability that
there will be freezing drizzle on Monday or on Tuesday. Show your work.
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