A group of friends are playing a game in which they roll a 4-sided pyramid and pull a marble from a bag of 4 marbles. The faces of the pyram

Question

A group of friends are playing a game in which they roll a 4-sided pyramid and pull a marble from a bag of 4 marbles. The faces of the pyramid are the same size and numbered 1 to 4. Each marble is a different color. The colors are green, blue, orange, and purple. The friend that rolls the number 3 on the pyramid and pulls a blue marble wins a point. The results from the first 12 turns are listed: 4 and blue 1 and blue 3 and orange 2 and green 3 and blue 2 and purple 2 and purple 1 and purple 4 and blue 1 and green 4 and orange 3 and green Compare the theoretical and experimental probability of rolling a 3 on the pyramid and pulling a blue marble by dragging and dropping the descriptions into the box it matches.

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Savannah 2 weeks 2022-01-01T19:37:46+00:00 1 Answer 0 views 0

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    2022-01-01T19:38:52+00:00

    Answer:

    • Theoretical Probability of picking a blue Marble and Rolling a 3=\frac{1}{16}
    • Experimental Probability of picking a blue Marble and Rolling a 3=\frac{1}{12}

    Step-by-step explanation:

    If the friends roll a 4-sided pyramid and pull a marble from a bag of 4 marbles.

    THEORETICAL PROBABILITY

    P(Picking a blue Marble)=\frac{1}{4}

    P(Rolling a 3)=\frac{1}{4}

    P(Picking a blue Marble and Rolling a 3)=\frac{1}{4} X \frac{1}{4}=\frac{1}{16}

    EXPERIMENTAL PROBABILITY

    The outcomes from the first 12 turns are:

    • 4 and blue
    • 1 and blue
    • 3 and orange
    • 2 and green
    • 3 and blue
    • 2 and purple
    • 2 and purple
    • 1 and purple
    • 4 and blue
    • 1 and green
    • 4 and orange
    • 3 and green

    n(3 and blue)=1

    P(Picking a blue Marble and Rolling a 3)=\frac{1}{12}

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45:7+7-4:2-5:5*4+35:2 =? ( )