Math

A bag contains 3 red marbles, 5 yellow marbles and 6 orange marbles. Three marbles are drawn and NOT replaced each time. Determine the probability of drawing three yellow marbles in a row. State whether the events are dependent or independent.

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  1. If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

    First marble = 5/14

    With one less yellow marble, second = 4/13

    With another less yellow marble, third = ?

    Multiply the three values.

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  2. I'm still not sure.. I'm good with independent events but these dependent one has me confused..

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  3. I think I solved it:

    RRR,YYYYY,OOOOOO

    [RYO],[RRR],[RYY],[ROO]
    [YYY],[YOR],[YOO],[YYO],[YRY],[YRR]
    [OOO],[ORO],[OYO],[ORR],[OYY],[ORY]

    There are 16 probable outcomes, only one of which was favourable, so 1/16=0.0625 so there is a 6% probability of you drawing 3 yellows!

    This event is dependent as the probability of drawing another yellow marble can either reduce or increase depending on the amount of each colour that remains inside the bag.

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