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10 January, 19:03

A bag contains 5 red marbles, 6 blue, 3 green, 4 black, and 2 yellow. If a marble is drawn from the bag and replaced 100 times, then what is a reasonable prediction for the number of times a green or black marble will be drawn?

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  1. 10 January, 19:39
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    So there are 20 marbles in the bag, and there are 3 green.

    So let's write the expression as:

    3/20.

    So if you draw the marble one time you have a 3 in 20 chance of drawing a green marble.

    Now since we are drawing the marble from the bag 100 times, let's convert 3/20 in terms of 100.

    To do such you need to find a number that can multiplied by 20 that will get you 100.

    20 x 5 = 100

    So what ever we do to the bottom we do to the top.

    So let's multiply 5 by our numerator 3.

    You should get 15.

    So if you draw a marble out of a bag 100 times, you will have a 15/100 chance you'll draw a green marble.

    Thus, the green marbles could be drawn 15 times.
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