Probability question
Decide whether the blank should be filled with '=, <, or >' and give a short but clear explanation.
(Probability that the total after rolling 4 fair dice is 21) _ _ _ _ _ __ (Probability that the total after rolling 4 fair dice is 22)
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There are total 20 ways to get the sum of 21 after rolling four fair dice, while there are total 10 ways to get the sum of 22 on rolling the four fair dice. So obviously the probability to get the total 21 after rolling the four fair dice is greater than the probability to get the total of 22 after rolling the four fair dice.