In a carnival game called Spot the Spot, the player has to drop five disks onto a red circle. The disks must cover it completely for the pla

Question

In a carnival game called Spot the Spot, the player has to drop five disks onto a red circle. The disks must cover it completely for the player to win. The probability that a skilled player can drop one of the disks onto the exact place on the red circle that it must occupy is about 1/3. What is the probability that such a player will be able to drop

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Thiên Thanh 5 years 2021-07-25T16:20:07+00:00 1 Answers 28 views 0

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  1. mit
    0
    2021-07-25T16:21:25+00:00
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    Answer:

    See explanation

    Step-by-step explanation:

    Given

    n=5 — disks

    p = \frac{1}{3} — success probability

    Required

    The question is incomplete, as the required probability is not stated.

    However, the question follows binomial distribution and the probability is calculated using:

    P(x) = ^nC_x * p^x * (1 - p)^{n-x}

    Assume the question requires that we calculate the probability that he’s able to drop 2 disks, the probability will be:

    P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}

    P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}

    P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}

    P(x = 2) = \frac{80}{243}

    Apply the formula to the complete question

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