Okay, I have a 10-sided die. I'm looking for occurrences of 1's and 6's when I roll it.
On a single role, the chance that I'll get a 1 or a 6 is 20%.
I know that much.
But lets say I don't get it on the first roll. Or the first four?
Here's what I'm trying to figure out:
Probability says that if I roll a d10, there's a 1 in 5 chance that I'll get a 1 or a 6 as a result. If I keep rolling, I'm GOING to get a 1 or a 6 eventually.
What are the odds that it'll happen within the first four tries?
What are the odds that two of the results will be 1 or 6?
Three of the results?
It's a d10. Like from a tabletop game. A ten-sided die with the numbers 1-10 on it.
The probability of rolling a 1 or a 6 is 1/5. I can get that far. But I don't know how subsequent rolls affects that probability. If I roll twice, does that mean I have a 40% chance of getting 1 or 6 instead of just 20%?
I'd like to know the chances that if I roll four times, I'll get one result that is either 1 or 6. And then two of the four results. Three and four after that.
EDIT: This isn't for any class or academic purpose. I'm just genuinely curious about it.