448.Russian Roulette, No Re-Spin
★★★classical probabilityCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
A six-chambered revolver is loaded with one bullet and the cylinder is spun once to randomize the chamber order. You and your friend alternate pulling the trigger — your friend goes first — and the cylinder is never re-spun. The person who fires the bullet loses. What is the probability that you win?
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With no re-spin, the game is equivalent to the bullet sitting in one of six fixed positions.
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