In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a four or a one on either die, that player wins. What is the probability that a player wins after playing the game once?	Options
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 4.   #getting a one in 1st die = {(1,1), (1,2), ...(1,6) }= 6   #getting a one in 2nd die {(2,1), ...(5,1),(6,1) } = 4 [exclude 1,1 and 4,1] since it will be counted twice   #getting a three in 1st die {(3,1), (3,2), ...(3,6) }= 6   #getting a three in 1st die {(2,4), (3,4), ...(6,4) } = 4 [exclude 1,4 and 4,4] since it will be counted twice   Total possibities = 20   Probability of rolling at least a 1 or a 4 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 four or a one on either die, that player wins. What is the probability that a player wins after playing the game once?