Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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The weather forecaster says that there is an 80% probability of rain tomorrow.
Determine the odds against rain.
A. | 4 : 5 | B. | 4 : 1 | C. | 1 :
5 | D. | 1 : 4 |
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2.
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From a committee of 18 people, 2 of these people are randomly chosen to be
president and secretary. Determine the number of ways in which these 2 people can be chosen for
president and secretary.
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3.
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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 probability that there will be equal numbers of boys and
girls on the trip.
A. | 17.23% | B. | 22.61% | C. | 27.35% | D. | 34.06% |
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4.
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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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5.
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Two dice are rolled. Let A represent rolling a sum greater than 10. Let
B represent rolling a sum that is a multiple of 2. Determine n(A Ç B).
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6.
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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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7.
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Select the events that are independent.
A. | Choosing a number between 1 and 30 with the number being a multiple of 2 and also a
multiple of 4. | B. | Drawing a heart from a standard deck of 52 playing cards and then drawing another
heart, without replacing the first card. | C. | Rolling a 2 and having a sum greater than 4
with a pair of six-sided dice, numbered 1 to 6. | D. | Rolling a 1 and rolling a 6 with a pair of
six-sided dice, numbered 1 to 6. |
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8.
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There are 60 males and 90 females in a graduating class. Of these students, 30
males and 50 females plan to attend a certain university next year. Determine the probability
that a randomly selected student plans to attend the university.
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9.
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A four-sided red die and a six-sided green die are rolled. Determine the
probability of rolling a 2 on the red die and a 5 on the green die.
A. | 4.17% | B. | 4.89% | C. | 6.50% | D. | 8.04% |
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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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Jasmine has two identical red marbles and twelve identical blue marbles in a
paper bag. She pulls out one marble at random and then another marble, without replacing the first
marble. Determine, to the nearest tenth of a percent, the probability that she pulls out a pair of
blue marbles.
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3.
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A die is rolled twice. Determine the probability that the first roll is greater
than 2, and the second roll is odd.
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Problem
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1.
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There are 11 players on a baseball team, all with roughly equal athletic
ability. The coach has decided to choose the players who will play the four infield positions (first
base, second base, third base, and shortstop) randomly. Tori and Brittany are on the team. Determine
the odds in favour of Tori and Brittany being chosen to play in the infield. Show your work.
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2.
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Trista remembers to set her alarm clock 82% of the time. When she does remember
to set her alarm clock, the probability that she will be late for school is 0.30. When she does not
remember to set it, the probability that she will be late for school is 0.60. Trista was late today.
What is the probability that she remembered to set her alarm clock? Show your work.
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