Recurring theme in stats is that our probabilistic intuition sucks. I love the birthday problem - estimate the probability that 2 people in the room of about 55 have the same birthday. 83% guessed <50%, a majority <20%. Actual answer: 98%. (Match found on checking 5 students) #teachmath
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What's in your piggy bank? 🐖
Explore this Problem to Ponder involving piecewise functions to consider the impact of replacing coins.
A great opportunity to discuss domain, range, and the maximum amount of money that would be possible!
