You have an ordinary deck of cards. You draw one card, do not replace it, and then draw a second card. Each series of draws begins with a full deck. Assuming you are as likely to draw one card as another, find the following probability: P(drawing a red card and drawing a black card on two consecutive draws, in either order)
Symbols list
Where necessary, you may use the list below to copy-and-paste symbols into your answer.
?; ?; •; ~; ?; ?; ?; ? ×
P((red on 1 • black on 2) ? (black on 1 • red on 2)) = (4/52 ? 3/51) + (4/52 ? 3/51) = 16/2652 + 16/2652 = 32/2652 = 8/663
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