Please help fast. A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that th

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Please help fast.
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 4 and the coin toss is tails? Write your answer as a fraction in simplest form.

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Kaylee 2 weeks 2021-11-23T11:51:13+00:00 1 Answer 0

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    2021-11-23T11:52:30+00:00

    Answer:

    \frac{1}{6}

    Step-by-step explanation:

    In probability theory, “AND” means multiplication and “OR” means “addition”.

    We can find the 2 probabilities separately and multiply them (as there is “AND”)

    So,

    Probability number rolled greater than 4 = number of numbers that are greater than 4/total number of numbers

    There are 2 numbers greater than 4 in a die (5 & 6) and total 6 numbers, so

    P(number greater than 4) = 2/6

    Now,

    Probability that tails come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)

    Hence,

    P(number greater than 4 and tails in coin) = 2/6 * 1/2 = 1/6

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