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2 June, 02:02

There are 7 red balls, 9 black balls and 3 white balls in a box. What is the chance to draw two black balls?

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Answers (2)
  1. 2 June, 02:16
    0
    You have a chance of 1/2 of getting a black ball. Good luck
  2. 2 June, 02:19
    0
    You didn't mention if the balls drawn with or without replacement.

    However I will give you both probabilities

    A) Ball drawn and replaced before the second draw:

    Sample size = {7 Red, 9 Black, 3 White} = 19 possible outcomes

    Favorable outcome={drawing black ball}

    P (1st black draw) = 9/19 = 0.4736

    P (2nd black draw) = 9/19 = 0.4736

    P (1st black draw AND 2nd black draw) = 0.4736 x 0.4736 = 0.224

    B) Ball drawn and not replaced:

    P (1st black draw) = 9/19 = 0.4736.

    Now that one black is drawn and not replaced, then the remaining number of black is now 8 and the total 18 instead of 19:

    P (2nd black draw) = 8/18 = 0.4444

    P (1st black draw AND 2nd black draw without replacement) =

    0.4736. x 0.4444 = 0.21
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