I've been trying to understand this but my Maths isn't strong enough. Someone else asked a similar question regarding six-sided dice. I understand this is a binomial distribution and can fill in the formula but can't complete it.
I am trying to figure out the probabilities of success for a roleplaying game, namely the new Vampire the Masquerade 5th edition. To succeed you roll ten-sided dice and need a number of successes (six or more on a die). To attack someone you roll your dice and try to get a number of successes equal or greater than half of theirs.
So I have $10$ dice as do they, we are equal. I need to roll $6$ or more on five of my ten dice.
Thank you so much for any help.