Problem 28 of 7
Evaluate fairness with conditional probabilities in a bag has 2 red and 3 blue tokens; first draw changes the second-draw probabilities.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
account for stage-dependent outcomes.
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Account for stage-dependent outcomes and without-replacement branching.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Draw or list the probability tree.
2. Multiply probabilities along each relevant path.
3. Add paths for each participant and compare totals.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Arguments that count branches without considering conditional probability.