SOLUTION: If two cards are drawn without replacement from a deck, find the probability that the second card is red, given the first card was a heart?

Question 116155: If two cards are drawn without replacement from a deck, find the probability that the second card is red, given the first card was a heart?
Found 2 solutions by checkley71, Fombitz:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
THE FIRST CARD BEING A HEART REDUCES TO NUMBER OF RED CARDS BY 1. THUS THERE IS ONLY 25 RED CARDS LEFT.
SO WE HAVE 25 RED CARDS OUT OF 51 TOTAL CARDS:
25/51=.49 OR 49% OF THE TIME THE SECOND CARD WILL BE A RED CARD.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
52 cards
26 are red, 26 are black
13 hearts, 13 diamonds, 13 clubs, 13 spades
First card was a heart, P(heart) = 13/52
Without replacement, the total number of cards is now 51.
51 cards
25 are red, 26 are black
12 hearts, 13 diamonds, 13 clubs, 13 spades
Second card was red (w/o replacement, first card heart), P(red)=25/51
The probabilities then multiply
P(heart and red, wo replacement) = 13/52*25/51= 325/2652 = 0.12
RELATED QUESTIONS
If two cards are drawn without replacement from a deck, find the probability that the... (answered by stanbon)
If two cards are drawn without replacement from a deck, find the probability that the... (answered by Boreal)
If two cards are drawn at random without replacement from a standard deck, find the... (answered by josmiceli)
Two cards are drawn without replacement from an ordinary deck, find the probability that... (answered by Ed Parker)
If two cards are drawn without replacement from a 52 card deck, find the probability that (answered by edjones)
if three cards are drawn at random without replacement from a standard deck, find the... (answered by ewatrrr)
Two cards are drawn in succession from a standard 52-card deck. What is the... (answered by solver91311)
Two cards are drawn in succession from a standard 52 card deck. What is the probability... (answered by Fombitz,mark_henrhiz)
How do you solve: Two cards are drawn, without replacement, from a standard 52-card... (answered by stanbon)