## Problem of the Week 1212## Self-Referential ProbabilityAlice has a coin that comes up HEADS with probability q; Bob has the same, with probability r. They alternate throws, with Alice going first. The first to get a HEAD wins.
Assume that q and r are random, independent, and uniformly distributed in
Is there a value X such that X equals the probability (as q and r vary) that Source: original problem of Steven J. Miller (Williams College) and Stan Wagon (Macalester College). |

November 2015