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CRVA Math Module 7 Review
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Nick has 3 shirts: a white one, a black one, and a blue one and two pairs of pants, one blue and one tan. What is the probability, if Nick gets dressed in the dark, that he winds up wearing the white shirt and tan pants?
1/3 x 1/2 = 1/6 (1 out of 6 outcomes)
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Alan is arranging 4 different stuffed toys in a row on a shelf. How many ways can he arrange the stuffed toys?
4 x 3 x 2 x 1 = 24 ways
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Barbara draws pens randomly from a box containing 5 pens: 1 green pen, 3 red pens, and 1 blue pen. She draws 1 red pen and then another red pen without replacing the first one. What is the probability of this compound event?
3/5 x 2/4 = 6/20 or 3/10
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At a conference for 500 people, 30% of the participants are French, 15% are Americans, 5% are Germans, and the rest are of other nationalities. How many French participants are at the conference?
30% x 500 = 150 people (0.3 x 500 = 150)
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Cathy used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the two tables. What is the probability of pulling a yellow marble and the coin landing heads up?
20/50 x 30/50 = 600/2500 or 6/25
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Cathy used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the two tables. What is the probability of pulling a blue marble and the coin landing tails up?
12/50 x 20/50 = 240/2500 or 12/125
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Ahmed is giving away roses. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a rose randomly without looking, what is the probability that he will pick a yellow rose then a yellow rose?
8/24 x 7/23 = 56/552 or 7/69
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Ahmed is giving away roses. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a rose randomly without looking, what is the probability that he will pick a white rose then a red rose?
9/24 x 7/23 = 63/552 or 21/184
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Abel makes the following statement: "I have a 30% chance of being selected captain of the baseball team and a 20% chance being elected student body president." What is the probability that Abel will be selected as both?
20% x 30% = 6% (0.2 x 0.3 = 0.06)
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There are 5 yellow shirts, 8 blue shirts, 4 green shirts, and 3 pink shirts in the closet. You choose one at random, then flip a coin. What is the probability that you choose a yellow shirt and flip a tails?
5/20 x 1/2 = 5/40 or 1/8
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There are 5 yellow shirts, 8 blue shirts, 4 green shirts, and 3 pink shirts in the closet. You choose one at random, then flip a coin. What is the probability that you choose a blue shirt and flip a heads?
8/20 x 1/2 = 8/40 or 1/5
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Celine is playing a game at the school carnival. There is a box of marbles with a white, a green, a blue, and an orange marble inside. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are there?
12 x 4 = 48 outcomes
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You are playing the card game MATCH! There are 10 cards. You turn over one card to reveal a duck. You then pick another card at random. What is the probability that it is also a duck?
1/9
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You roll two number cubes (dice) numbered from 1 to 6. The sample space is shown. What is the probability of getting a sum of 13?
0/36 or 0
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You roll two number cubes (dice) numbered from 1 to 6. The sample space is shown. What is the probability of getting a sum of 9?
4/36 or 1/9
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You roll two number cubes (dice) numbered from 1 to 6. The sample space is shown. What is the probability of getting a sum of 11?
2/36 or 1/18
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A bag contains the following chips: 5 blue, 11 pink, 9 white. You take a chip out of the bag without looking, DO NOT replace it, then choose another chip. What is the probability that you choose blue two times?
5/25 x 4/24 = 20/600 or 1/5 x 1/6 = 1/30
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A bag contains the following chips: 5 blue, 11 pink, 9 white. You take a chip out of the bag without looking, replace it, then choose another chip. What is the probability that you choose pink then white?
11/25 x 9/25 = 99/625
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A bag contains the following chips: 5 blue, 11 pink, 9 white. You take a chip out of the bag without looking, replace it, then choose another chip. What is the probability that you choose blue two times?
5/25 x 5/25 = 25/625 or 1/5 x 1/5 = 1/25
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