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From a standard deck of cards, two cards are randomly drawn, one after the other without replacement. The color of each car is noted. Which is less likely to occur: two red cards or a red card and a black card? Explain.

  • MATH - ,

    prob of 2 red cards = (26/52)(25/51) = 25/102
    prob of red and black = 2(26/52)(26/51) = 26/51


    prob two reds = C(26,2)/C(52,2) = 25/102

    prob rd and black = C(26,1) x C(26,1)/C(52,2) = 26/51

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