# Christmas M&Ms

## Question

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?