What are the odds of rolling at least one “6” when throwing 6 dice.

Question

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

Answer 1

The chance is essentially 1/6 for each dice and each throw (even if you do them simultaneously) is independent.