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Card Color Guess
ProbabilityMedium
15 min
25 pts
Description
2 blue/2 red balls drawn without replacement. Optimal strategy for guessing color to maximize winnings.
Game Rules
A bag contains 2 blue and 2 red balls. Balls are drawn one by one without replacement. After each draw, you can guess the color of the next ball. What's the optimal strategy?
Examples
After first draw, update probabilities
Use conditional probability
Maximize expected winnings
Hints
Update probabilities after each draw
Consider conditional probability
Solution (Click to reveal)
Use conditional probability after each draw. Guess the color with higher remaining probability.