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CRVA Math Module 7 Review

  •  English    19     Public
    Probability of Compound Events
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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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  • 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, 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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  • 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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  • 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 13?
    0/36 or 0
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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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