Data Interview Qs - Christmas M&Ms
Christmas M&Ms
Statistics Probability Theory Bayes' Theorem Conditional Probability
Suppose you have two different bags of M&Ms, one is a special Christmas edition while the other is a standard bag of M&Ms. The Christmas edition contains only red, green, and white M&Ms while the standard bag contains the full color offering. The distributions of drawing a given color are below:
Christmas bag of M&Ms
- Green: 30%
- Red: 40%
- White: 30%
Standard bag of M&Ms
- Green: 20%
- Orange: 19%
- Blue: 19%
- Red: 15%
- Yellow: 14%
- Brown: 13%
You are given an M&M from each bag, but you do not know which M&M came from which bag. One M&M is Red and one is Green. What is the probability that the Red M&M came from the Standard bag?
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