SOLUTION: Consider the experiment of drawing two cards without replacement from an ordinary deck of 52 playing cards. What are the odds in favor of drawing a spade and a heart? This is a

Question 257278: Consider the experiment of drawing two cards
without replacement from an ordinary deck of 52 playing cards. What are the odds in favor of drawing a spade and a heart?
This is as far as I could get:
The odds of drawing a spade is 13/52, and the odds of drawing a heart is 13/51. The probability of drawing a spade and a heart would be 13/52 * 13/51 =
Please help me figure this problem out. I'm so confused.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Odds of drawing a spade: P(Spade)=13/52=1/4
Odds of drawing a heart (after drawing a first card without replacement): P(heart)=13/51

Odds of drawing a spade and then a heart (without replacement): P(spade and heart)=(1/4)*(13/51)=13/204

So the probability is 13/204 which in decimal form is 0.0637 which is a 6.37% chance.
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