1 1 vote Alice and Bob have one coin each with probability of Heads $p$ and $q$, respectively. In each round, both Alice and Bob independently toss their coin once, and the game stops if one of them gets a Heads and the other gets a Tails. If they both get either Heads or both get Tails in any round, the game continues. Let $R$ be the expected number of rounds by which the game stops. Which of the following is $\text{TRUE?}$ $R=\frac{1}{p+q-2 p q}$ $R=\frac{1}{p+q-p^{2} q^{2}}$ $R$ is independent of $p$ and $q$ $R=\frac{1}{1+2 p q-p-q}$ None of the above Probability and Statistics tifrece2020 probability-and-statistics conditional-probability + – admin 346 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
