Greenhill

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Abag contains 11red beads 4 green beads 1 purple bead. Two beads are drawn without replacement in the bag. A). Calculate probability ttwo beads are same colour. And. B) calculate probability purple bead is not taken.

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  • Greenhill -

    a) could be either RR or GG

    prob(RR = (11/16)(10/15) = 11/24
    prob(GG) = (4/16)(3/15) = 9/20
    prob(2 same colour) = 11/24 + 9/20 = 109/120

    prob (one purple , one none) = (1/16)(15/15) + 15/16)(1/15) = 1/8

    prob(NOT a purple) = 1 - 1/8 = 7/8

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