I swear I leaned this in school at some point but its been bothering me .
If you throw a six sided die, the odds of rolling a six are 1/6.
But what are the odds of rolling at least one six if you throw two dice at the same time? I thought it was 1/6 + 1/6 or 2/6, but suspect I might be wrong.
This is the idea that has me stuck. If you throw 6 dice at the same time what are the odds of rolling at least one 6 ? It can’t be 6/6 or 100%. The odds of rolling at least one 6 are certainly high but absolutely not 100%, so the logic I used for the two dice can’t be correct. There must be a formula for this but I’m having trouble searching for it . Thanks !
In: 12
It is equal to 1 minus the probability of you rolling no sixes.
For an individual die that’s 5/6 since any number between 1 and 5 works. The probability of rolling 6 dice with no sixes is (5/6)**6. The probability of rolling at least one 6 is therefore 1-(5/6)**6
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