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18 August, 04:04

A teacher reaches into a bag of game pieces containing 5 black pieces, 3 purple pieces, 1 orange piece, and 6 green pieces. He draws 2 pieces, setting aside the first piece before drawing the second. What is the probability that at least one of the drawn pieces is purple

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  1. 18 August, 07:56
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    The probability of choosing a purple piece is 3/15, choosing an orange piece will be 1/15, that of black pieces is 5/15 and that of choosing a green piece is 6/15.

    This would be PP + PW + PG + PB + WP + GP + BP

    = (3/15 * 2/14) + (3/15*1/14) + (3/15*6/14) + (3/15+5/14) + (1/15*3/14) + (6/15 * 3/14) + (5/15 * 3/14)

    = 6/210 + 3/210 + 18/210+15/210+3/210 + 18/210 + 15/210

    = 78/210

    = 13/35
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