In the game of craps two dice are rolled and the up faces are totaled. If the person rolling the dice on the firstroll rolls a 7 or an 11 total they win. If they roll a 2, 3, or 12 on the first roll they lose. If they roll any other totalthen on subsequent rolls they must roll that total before rolling a 7 to win. What is the probability of winningon the first roll?
A) 0.22
B) 0.17
C) 0.06
D) 0.50

Question

Quizplus · Accepted Answer

To win on the first roll, the player must roll a 7 or an 11. There are 6 ways to roll a 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) and 2 ways to roll an 11 (5+6, 6+5), making a total of 8 winning combinations. Since there are 36 possible combinations when rolling two dice (6 faces per die), the probability of winning on the first roll is 8/36, which simplifies to 2/9, or approximately 0.22.

In the Game of Craps Two Dice Are Rolled and the Up