Say you have a lotto game 10/20, which means that 10 balls are drawn from 20 which are in a cylinder.
Now, lets say I bet on one exact number to come out (for example number 6), I have the 50% chance of doing that, right?
Ok, now please tell me if I'm correct by stating that the chance of guessing three numbers (in example: i say that from 10 numbers which are drawn there will be 2, 5, 8) is this: 10/20 * 9/19 * 8/18 = 0,10 => 10%
Ok, now further more (and this one I don't know how to approach): what is the probability of me guessing exactly one number, or exactly 2 numbers, or none of them (of those three which I chose). Even further what is the probability to guess AT LEAST one number, or AT LEAST two numbers.
I will be grateful for any help, or any reading material reference.