A fair die is rolled. What is the probability of rolling a 3 or a 6?

Discussion in 'Calculator Requests' started by math_celebrity, May 4, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A fair die is rolled. What is the probability of rolling a 3 or a 6?

    P(3 or 6) can be written as:
    P(3) + P(6)

    A fair die means all faces have an equal probability of 1/6
    P(3) = 1/6
    P(6) = 1/6

    P(3 or 6) = P(3) + P(6)
    P(3 or 6) = 1/6 + 1/6
    P(3 or 6) = 2/6

    Using our fractions simplifier for 2/6, we get:
    P(3 or 6) = 1/3
     

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