SOLUTION: Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a seven or twelve occurs on the firs
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Question 639130: Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a seven or twelve occurs on the first roll, the player wins. What is the probability of winning on the first roll? Answer by Edwin McCravy(20060) (Show Source):
You win on the first roll if any of the 7 rolls below
which are colored red come up:
⚀⚀ ⚀⚁ ⚀⚂ ⚀⚃ ⚀⚄ ⚀⚅
⚁⚀ ⚁⚁ ⚁⚂ ⚁⚃ ⚁⚄ ⚁⚅
⚂⚀ ⚂⚁ ⚂⚂ ⚂⚃ ⚂⚄ ⚂⚅
⚃⚀ ⚃⚁ ⚃⚂ ⚃⚃ ⚃⚄ ⚃⚅
⚄⚀ ⚄⚁ ⚄⚂ ⚄⚃ ⚄⚄ ⚄⚅
⚅⚀ ⚅⚁ ⚅⚂ ⚅⚃ ⚅⚄ ⚅⚅
That's 7 successful rolls out of 36 possible rolls.
That's a probability of 7 out of 36 or .
Edwin
