Answer :
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]