Probability ?

the probability that a car tire will last for 5 years is 0.8. the probability that a tire will last for 6 years is 0.5. suppose that your tires have lasted for 5 years. determine the probability that the tires will last for 6 years

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  • Pope
    Lv 7
    4 months ago

    Some of your statements refer to tire (singular), and some to tires (plural). I am going to suppose that all of them were meant for a single tire. Define two events.

    E: The tire lasts five years (or more).

    F: The tire lasts six years (or more).

    P(F | E)

    = P(F ∩ E) / P(E)

    = (0.5) / (0.8)

    = 5 / 8

  • Out of 100 tires, 80 will make it 5 years and 50 of those will make it 6 years.  That means that 50 out of the 80 that make it 5 years will last another year

    50/80 =>

    5/8 =>

    0.625

    0.625 is it.

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