You roll a fair 666-sided die.
How many outcomes will give you a number less than 444?
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Answer:
Probability of d5 not showing a 4 = 5/6, probability of d4 not showing a four = 3/4.
Probability of neither showing a 4: 5/6*3/4 = 5/8 = 0.625.
(And the final step, which I forgot, thanks to Jack Montgomery ): “Therefore, the probability that at least one of the two dice shows a four is 1 - (5/8) = 3/8 = 0.375.”
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