A 12 before two 7s
Two players roll a pair of dice repeatedly. A wins if a sum of 12 appears first; B wins if two consecutive 7s appear first. What is P(A wins)? (to 3 decimals)
Show hints (2)+
- Add a state for "a 7 just occurred".
- A 7 followed by a 7 makes B win.
Answer
Reveal answer →Final answer
0.5385 (± 0.005)
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Asked at: Probability & Market-Making, Data-Driven Research