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Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones. If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than red each time?

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  1. there are 5 of 20 marbles that are red, so our chances of pulling two non-red ones are

    15/20 * 14/19

    just reduce that.

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