Sorry to post this really simple question about probability here but my hands are forced here.My little brother came home with a question which I needed to help him solve. The only problem here is that I started been confused myself.
here is the problem statement. there are 4 players of marbles, and 20 marbles in total. the rule of the game is that he who manage to get the absolute maximum of marbles is the winner(absolute in the sense that no other player should have the same number of marbles).
Question 1 what is the minimum number of marbles should one player have to be assured of the victory.
Question 2 what is the probability that the player with that number of marbles will win
so to me the question 1 is kind of logical and common sense.one player should have at least 11 marbles to be assured. So I got that because it's kind of obvious to me but I don't know how to explain to my brother how I end up with that number 11.
the second question is completely confusing for me.I know it's not permutation because there is not order of any arrangement here. it's not just a combination.
I really need help here. Thanks for reading this
EDIT i think i didn't understand the topic very well, the question 2 was really about the probability of any of them been assured of winning. That as well i feel like it's 1/4 but just in case i would like to cross check with you.Thanks for those who quickly responded