Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the second card is red? (Round your answer to three decimal places.)

Answer:The answer is 0.123.Step-by-step explanation:You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade) ⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)Either formula works, but I'm going to choose to work with the first formula.Therefore:P(Spade) = [tex]\frac{13}{52}[/tex]P(Red/Spade) =  [tex]\frac{26}{52-1}[/tex]So:P(Spade∩Red) = [tex]\frac{13}{52}[/tex]*[tex]\frac{26}{51}[/tex]= [tex]\frac{13}{102}[/tex] =  [tex]0.123[/tex]