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22 April, 17:24

A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.

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  1. 22 April, 18:54
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    There are only three colours.

    By Kolmogorov's second axiom, the sum of probabilities of all possible outcomes is one, which means that

    P (blue) + P (green) + P (red) = 1

    We know that

    P (blue) = 0.20

    P (green) = 0.50

    so above equation reduces to

    0.20+0.50+P (red) = 1

    Solve for P (red) = 1 - 0.20 - 0.50 = 0.30.

    If we define likely as over 50%, then it's not likely.
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