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1 September, 01:22

A bag contains 6 red balls and 9 black balls. Two balls are drawn, one after the other with replacement. Find the probability that

a. Both are of the same colours

b. Both are of different colours

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  1. 1 September, 01:41
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    a) 13/25

    b) 12/15

    Step-by-step explanation:

    a) Since it is with replacement, the chance of them being both the same colour will be

    P (both red) + P (both black) = (6/15*6/15) + (9/15*9/15)

    = 13/25

    b) If they are both different colours, then we will be working out

    P (both colours) = (6/15*9/15) * 2 = 12/25 (Its * 2 because the other way of pulling both colours is 9/15*6/15 which is the same but flipped)

    Another way of working this question out is

    P (1-All red or all blue) which from above we know that All red or all blue is 13/25 so

    P (1-All red or all blue) = 1 - 13/25 = 12/25
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