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10 September, 21:05

Beth draws pens randomly from a box containing 6 pens of the same shape and size. There is 1 green pen, 4 red pens, and 1 blue pen. She draws 1 red pen and then another red pen without replacing the first one. Find the probability of drawing 1 red pen followed by another red pen, and show the equation used.

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  1. 10 September, 21:35
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    the probability of drawing 1 red pen followed by another red pen is P;

    P = 2/5 = 0.4

    Step-by-step explanation:

    Given;

    Total number of pen = 6

    Red = 4

    Green = 1

    Blue = 1

    Find the probability of drawing 1 red pen followed by another red pen;

    The probability of drawing the first red pen is

    P1 = Nr/Nt = 4/6

    Nr = number of red pen

    Nt = total number of pen

    The probability of drawing the second red pen is

    P2 = (Nr-1) / (Nt-1) (reason: no replacement)

    P2 = 3/5

    the probability of drawing 1 red pen followed by another red pen is P;

    P = P1 * P2 = 4/6 * 3/5 = 2/5

    P = 2/5 = 0.4
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