Sam rolls a fair dice and flips a fair coin. What is the probability of obtaining an odd number and a head?

Question

Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?

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Doris 2 months 2021-07-24T14:42:21+00:00 1 Answers 1 views 0

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    2021-07-24T14:44:04+00:00

    Answer:

    1/4

    Step-by-step explanation:

    Given an event A and event B, the probability of both happening can be determined by multiplying the two individual probabilities.

    We can start by finding the individual probabilities

    The probability of rolling an odd number is 3/6 = 1/2, as there are 3 odd numbers (1,3,5) on a die and 6 possibilities total. Furthermore, there is a equal chance of rolling each number as it is a fair die

    The probability of flipping a head is 1/2, as there are two equal possibilities (heads and tails), with one of them being heads

    To find the probability of both happening, we can multiply them to get (1/2) * (1/2) = 1/4

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