PRE CAL. JOURNAL

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A BAG CONTAINS 3 RED CHIPS, 2 BLUE CHIPS AND 1 WHITE CHIP. IF 2 CHIPS ARE CHOSEN FROM THE BAG WITHOUT REPLACEMENT DETERMINE THE PROBABILITY THAT THEY ARE OF DIFFERENT COLORS

  • PRE CAL. JOURNAL -

    You can calculate the different combinations to get different colours, but you can also calculate the probability P of getting the same colours, and the required probability is 1-P.

    get two reds: (3/6)*(2/5)=1/5
    get two blues: (2/6)*(1/6)=1/18
    Probability of getting two reds or two blues: (1/5)+(1/18)=23/90
    Probability of not getting two of the same colour = 1-(23/90)=67/90

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