easy Probability
A release-checked easy problem for training Events, Discrete Random Variables, Conditional Probability.
Abby and Ben are playing a coin flipping game. Abby has a coin with probability $p$ of showing heads on each flip and Ben has a fair coin. Abby flips her coin first, and then they alternate until one of them shows a heads. The person who flips the first heads is declared the winner. If it is known that Abby and Ben have equal chances of winning the game, find $p$.
This Probability problem is tagged Events, Discrete Random Variables, Conditional Probability. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
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