Question

A dice is rolled. A card is drawn from a deck of face cards (i.e. only Jack,

Queen, King of each suit). 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.

Answer 1

The probability that you do not win is 1 - probability that you win.
Probabilty of tossing a tail = 1/2
Probability of drawing a heart = 13/39 = 1/3
Probability of rolling an even number = 3/6 = 1/2

Probability of winning = 1/2 x 1/2 x 1/3 = 1/12
Probability of not winning = 1 - 1/12 = 11/12 = 0.9167