Homework Explained - Math Practice 101

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Grade 7 HMH Go Math - Answer Keys


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  Independent Practice  

In Exercises 10–12, use the following information. Mattias gets dressed in the dark one morning and chooses his clothes at random. He chooses a shirt (green, red, or yellow), a pair of pants (black or blue), and a pair of shoes (checkered or red).

  • Question 10 (request help)

    Use the space below to make a tree diagram to find the sample space.

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  • Question 11 (request help)

    What is the probability that Mattias picks an outfit at random that includes red shoes?

  • Question 12 (request help)

    What is the probability that no part of Mattias’s outfit is red?

  • Question 13 (request help)

    Rhee and Pamela are two of the five members of a band. Every week, the band picks two members at random to play on their own for five minutes. What is the probability that Rhee and Pamela are chosen this week?

  • Question 14 (request help)

    Ben rolls two number cubes. What is the probability that the sum of the numbers he rolls is less than 6?

  • Question 15 (request help)

    Nhan is getting dressed. He considers two different shirts, three pairs of pants, and three pairs of shoes. He chooses one of each of the articles at random. What is the probability that he will wear his jeans but not his sneakers?

  • Question 16 (request help)

    Communicate Mathematical Ideas

    A ski resort has 3 chair lifts, each with access to 6 ski trails. Explain how you can find the number of possible outcomes when choosing a chair lift and a ski trail without making a list, a tree diagram, or table.

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  • Question 17 (request help)

    Explain the Error

    For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains \(3^2 = 9\) outcomes. What is her error? Explain.

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