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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Let's calculate the odds of actually winning first.
P(1 on die)=1%2F6
P(red card)=26%2F52=1%2F2
P(1 and red)=%281%2F6%29%281%2F2%29=1%2F12
So then
P(not(1 and red))+P(1 and red)=1
P(not(1 and red))=1-P(1 and red)
P(not(1 and red))=1-1%2F12
P(not(1 and red))=11%2F12
So the chances of not winning are 11%2F12
In terms of odds, there is 1 chance of winning, 11 chances of not winning.
Odds are 11:1 against winning.