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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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