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mathematics

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a box contains 2 white and 3 blue balls.two balls are picked at random,one after the other without replacement.what is the probof picking two balls of different colours?

  • mathematics - ,

    There are two cases: WB and BW

    P(WB)=(2/5)*(3/4)=3/10
    P(BW)=(3/5)*(2/4)=3/10
    Probability of choosing balls of different colours = 6/10=3/5.

    Check:
    For same colours
    P(WW)=(2/5)*(1/4)=1/10
    P(BB)=(3/5)*(2/5)=3/1

    P(all)=10/10 OK.

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