SOLUTION: A game consists of tossing a fair die and then (blindly) selecting a card from a 52 card deck. You win the to prize if the top number on your tossed die is a 1 and you draw a red c

Question 346137: A game consists of tossing a fair die and then (blindly) selecting a card from a 52 card deck. You win the to prize if the top number on your tossed die is a 1 and you draw a red card. What are the odds against your winning the top prize?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's calculate the odds of actually winning first.
P(1 on die)=
P(red card)=
P(1 and red)=
So then
P(not(1 and red))+P(1 and red)=
P(not(1 and red))=1-P(1 and red)
P(not(1 and red))=
P(not(1 and red))=
So the chances of not winning are
In terms of odds, there is 1 chance of winning, 11 chances of not winning.
Odds are 11:1 against winning.

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