SOLUTION: We're just getting into statistics and my teacher is very helpful, but I'm still having a bit of trouble understanding how to set up a probability question for this problem: "Proba

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Question 367943: We're just getting into statistics and my teacher is very helpful, but I'm still having a bit of trouble understanding how to set up a probability question for this problem: "Probability and Odds for Drawing a Card - For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability, and (b) the odds in favor, of each event."
The specific question I'm asking about is the probability and odds of drawing a "Spade or Face Card." I'm not wanting someone do just do it for me, but rather show how to write it to solve, ex: P(Spade or Face card), and kind of explain it from there (what to do with the variables in the parenthesis, etc).
Thank you!
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The probability of anything is the number of outcomes you consider to be a success divided by the total number of outcomes. You want to draw a single card from a standard 52-card deck. That means there are 52 possible outcomes -- and we already have the denominator of our fraction. There are 13 spades in the deck and there are 3 face cards per suit and 4 suits, so there are 12 face cards. But 3 of those 12 face cards are spades which we already counted when we counted the 13 spades. So we have 13 spades plus 9 face cards that are not spades for a total of 22 possible sucessful draws.

P(Spade or Face) =

Just a touch over 42%.

If the odds in favor are , then the probability is

For your problem then, the probability was , hence the odds in favor are

John

My calculator said it, I believe it, that settles it