A single die is rolled, then a card is drawn from a deck containing only face
cards (i.e. only Jack, Queen, King of each suit). Finally, a coin is flipped.
You win the game if you toss tails, draw a heart, and roll an even number.
Find the probability that you do not win.

Question

A single die is rolled, then a card is drawn from a deck containing only face 
cards (i.e. only Jack, Queen, King of each suit). Finally, a coin is flipped. 
You win the game if you toss tails, draw a heart, and roll an even number. 
Find the probability that you do not win.

anonymous · Answer

I got $$=\frac{ 1*4*3*3 }{ 144 }$$
$$=\frac{ 1 }{ 2 }$$

anonymous · Answer

P(lose) = 1 - P(win) =1 -  (1/2) (3/12) (3/6) = 15/16