Question

Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that one of the cards is red and the other is black, and are these events independent?
start fraction 26 over 51 end fraction; no, they are dependent events
start fraction 13 over 51 end fraction; no, they are dependent events
start fraction one over four end fraction; yes, they are independent events
start fraction 25 over 51 end fraction; yes, they are independent events

Answer 1

Total cards = 52
Total red cards = 26
Total black cards = 26

P(one red and one black) = P(red and then black)+ P(black and then red)
P(one red and one black) =(26/52)(26/51) + (26/52)(26/51)
P(one red and one black) = 26/51 (Answer A) 

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Answer: 26/51 (Answer A) 
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