Yesterday, a most amazing thing happened. In our adminstrative office at work, there's a gumball machine filled with M&Ms. I put a penny in and got six M&Ms, one and only one of each basic color! That's a pretty rare thing. But, a bit later, I put another coin in and got exactly the same thing: one and only one of each of the six M&M colors! I was floored.

**QUIZ:**What are the odds of this happening? If you make some assumptions about the contents of the machine and the distribution of the quantity of M&Ms that get distributed each turn of the handle (it seems to range from 4 to 9), what is the probability of getting exactly one of each color twice in a row?View 26 previous comments

- +David Belliveau that seems like a modern show, they obviously took inspiration from my findings back in high school in the 80s 😉Jun 9, 2016
- +Paul Snedden Anything's possible. Canada had a bit of a recession in the 80s, so the nation's textbooks were most likely sourced from various bargain bins.Jun 9, 2016
- +David Belliveau LOL indeed.Jun 9, 2016
- Once you got the first lot, the odds of getting the second lot become the same as getting the first.Jun 9, 2016
- +Eric Mintz And then you have to multiply those two odds to get the probability of getting the same result twice in a row.Jun 10, 2016
- +Craig Froehle true, provided that you have not already received a batch containing exactly one of each color. Once you receive the first batch, the odds that your next batch contain exactly one of each color remain the same as always.

So we are both correct :-)Jun 10, 2016

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