Let's side I have a one hundred sided dice and a friend picks 8 random numbers from the dice. I understand that if I roll the dice one time, he has an 8% chance of getting the roll correct.
My question is this: Let's say I roll the dice 4 times, what are the odds that he gets at least one correct guess? I am assuming it is higher then 8% but don't know the formula.
The probability of NOT getting one of those $8$ numbers for four rolls would be $$x=\frac{92}{100}\cdot\frac{92}{100}\cdot\frac{92}{100}\cdot\frac{92}{100}$$
So the probability of hitting it at least once would be $(1-x)$