Probability of rolling dice and not getting all a specific number
This math skill teaches how to find the probability of not rolling all of a specific number on multiple dice by using the complement rule. It involves calculating the probability of the specific event happening and subtracting it from one to find the probability of the event not happening.
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What is the chance of not rolling all 4s on these dice?
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Let's approach this by taking the complement. The probability of not rolling all 4s is 100%, or 1, minus the probability of rolling all 4s.
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So that's 1 minus the intersection of the probability of 4, twice. Or 1 minus the probability of a 4 multiplied by itself.
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The chance of a 4 is 1 in 6, so we can plug that in
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So our answer is 35 in 36, since it's 1, minus 1 out of 36
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That's about a 97.22 percent chance that we do not roll double 4s
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Probability of rolling dice and not getting all a specific number
Test your understanding of probability of dice not all specific number by practicing it! Work through the below exercises to use it in practice.