Each of the two players A and B toss N fair coins. Let pi be the probability that i coins of the N coins player A (equivalently player B) tossed shows heads.
a) What is the probability the two players have the same number of heads? (You do not need to calculate pi.)
b) If the game is modified so that player A tosses N +1 coins (player B still tosses N coins), show that he probability that player A has more heads than player B is 0.5 .
Each of the two players A and B toss N fair coins. Let pi be the probability that i coins of the N coins player A (equivalently player B) tossed shows heads.
a) What is the probability the two players have the same number of heads? (You do not need to calculate pi.)
b) If the game is modified so that player A tosses N +1 coins (player B still tosses N coins), show that he probability that player A has more heads than player B is 0.5 .
Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics. Register to post your math questions or just hang out and try some of our math games or visit the arcade.
Coins 
Linear Mode
