Concept explainers
In the 17th century, the discipline of probability theory got its start when a gambler asked a mathematician friend to explain some observations about dice games. Why did he, on average, lose a bet that at least one six would appear when rolling a die four times? And why did he seem to win a similar bet, getting at least one double-six when rolling a pair of dice 24 times?
Nowadays, it seems astounding that any person would roll a pair of dice 24 times in a row, and then repeat that many times over. Let’s do that experiment on a computer instead. Simulate each game a million times and print out the wins and losses, assuming each bet was for $1.
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