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It depends upon how you are picking these numbers. Let's say you are rolling two dice. The probability of rolling 2 fours is 1 in 36. The probability of exactly 1 five is 10 in 36, while the probability of at least 1 five is 11 in 36. The probability of exactly 1 six is 10 in 36, while the probability of at least 1 six is 11 in 36. The probability of at least 1 five or 1 six is 19 in 36. The probability of exactly 1 five or six is 15 in 36. So no matter how you look at it, with dice rolling, the probability of 1 five or 1 six is bigger than the probability of 2 fours. However, if you are picking numbers from a hat, then the probabilities are different.

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Q: Which is bigger the probability of 2 fours or the probability of 1 five or 1 six?
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