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20 April, 21:26

Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. the probability that exactly 1 of the 4 marbles drawn is blue is. the probability that at least 1 of the 4 marbles drawn is white is.

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  1. 20 April, 21:44
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    There are 12 marbles in total in the bowl.

    From this bowl, we will choose 4 marbles at random.

    That's 12C4 or (12*11*10*9) or 11,880 ways

    Out of this, what is the probability that there is exactly 1 blue marble.

    There are 5 blue balls but only 1 is selected, 5C1 ways

    The rest except blue calls are 7, but only 3 slots are left, 7C3 ways

    The probably of exactly 1 blue of 4 marbles is then 5C1*7C3/12C4 = 1050/11,880 = 0.0884 or 8.84%
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