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14 July, 09:44

Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjacent to the yellow bead?

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  1. 14 July, 12:06
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    Probability of no black bead is adjacent to the yellow bead is = 0.966

    Step-by-step explanation:

    First to arrange all the beads without restrictions = 6! = 720

    Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 / 720

    = 0.0333

    Probability of no black bead is adjacent to the yellow bead is

    = 1 - Probability the black bead is adjacent to Yellow bead

    = 1-0.033

    = 0.966
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