Two cards are drawn at random from a standard 52 card deck without replacement. Find the probability that the second card drawn is a spade, given...

9. Two cards are drawn at random from a standard 52 card deck without replacement. A. Find the probability that the second card drawn is a spade, given that the first card was not a spade. B. Find the probability that the second card drawn is a heart, given that the first card is a spade. C. Is the "second card drawn is a heart" independent of "the first card is a spade"? P (Spade Heart) = 13 13 52 51 P (Spade) = 13 52 P (Heart) = 13 13 + 13 12 + 26 13 52 51 52 51 52 51 P (Spade Heart) = P (Spade)P (Heart) they are not independent 10. Two cards are drawn at random from a standard 52 card deck with replacement. A. Find the probability that the second card drawn is a spade, given that the first card was not a spade. B. Find the probability that the second card drawn is a heart, given that the first card is a spade. C. Is the "second card drawn is a heart" independent of "the first card is a spade"? P (Spade Heart) = 13 13 52 52 P (Spade) = 13 52 P (Heart) = 13 13 + 13 13 + 26 13