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18 August, 21:42

Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?

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  1. 18 August, 22:03
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    1/4

    Step-by-step explanation:

    We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;

    1, 2, 3, 4, 5, 6

    The probability of rolling an even number is;

    (total number of faces with even numbers) / (total number of faces)

    The even numbers are;

    2, 4, 6

    The probability of rolling an even number is thus;

    3/6 = 1/2

    If a penny is tossed, the probability of landing heads is simply;

    1/2

    This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.

    now, the probability that he will roll an even number and toss heads is;

    1/2 * 1/2 = 1/4

    we simply find the product of the probabilities of the individual events since they are independent.
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