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    Two cards are drawn together at random from a deck of 52 playing cards. What is the probability to get one red and one black card?
    Question

    Two cards are drawn together at random from a deck of 52 playing cards. What is the probability to get one red and one black card?

    A.

    13/51

    B.

    26/51

    C.

    13/102

    D.

    13/204

    Correct option is B

    Solution :
    Number of cards = 52
    Number of black card = 26
    Number of red card = 26
    Way to get one red and one black card = 26C1^{26}C_1  x 26C1^{26}C_1
    Probability = ​​
    ​​26×2626×51\frac{26 \times 26}{26\times51} = 2651\frac{26}{51}
    Thus the correct answer is option (b) 2651\frac{26}{51}​​

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