Math and Logic

Same or Different

Suppose Anela rolls a six-sided fair die while Zeke rolls an eight-sided one. Which is the most likely outcome — Anela rolls a higher number than Zeke, Zeke rolls a higher number than Anela, or they roll the same number?

Intuition may tell you Zeke’s die with its higher numbers makes the event of Zeke rolling a higher number than Anela the most likely of all. Can we trust intuition in this case? We can check by actually calculating the probability of each event.

To see the calculations, keep reading. Or, skip to today’s challenge for a similar problem.

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