In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a two or a one on either die, that player wins. What is the probability that a player wins after playing the game once? Choose the correct answer.
A) 1/3  B) 4/9  C) 5/9  D) 2/3  E) 3/4
We're looking for the number of outcomes that include AT LEAST a 1 or a 2.   #getting a one in 1st die = {(1,1), (1,2), ...(1,6) }= 6   #getting a one in 2nd die {(3,1), ...(5,1),(6,1) } = 4 [exclude 1,1 and 2,1] since it will be counted twice   #getting a two in 1st die {(3,1), (3,2), ...(3,6) }= 6   #getting a two in 1st die {(3,2), (4,2), ...(6,2) } = 4 [exclude 1,2 and 2,2] since it will be counted twice   Total possibities = 20   Probability of rolling at least a 1 or a 2 on two dice: 20/36 = 5/9   5/9
<result>C</result>
In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a two or a one on either die, that player wins. What is the probability that a player wins after playing the game once?