Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the sec ond card is red? (Round your answer to three decimal places.)
1 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) =
P(Red/Spade) =
So:
P(Spade∩Red) = * = =
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