Question

Suppose that you and your friend alternately play a game. Both
of your and your friend’s chance of winning in each game is 0.5.
All the outcomes are independent. Each of you will play 100
games.

Estimate the probability that you will win at least 5 more games
than your friend.

Both Y and Z follows Bin(100, 0.5).

Y = number of games you win

Z = number of games your friend wins.

Answer #1

Suppose that you and your friend alternately play a game. Both
of your and your friend’s chance of winning in each game is 0.5.
All the outcomes are independent. Each of you will play 100 games.
Estimate the probability that you will win at least 5 more games
than your friend. Both Y and Z follows Bin(100, 0.5). Y = number of
games you win Z = number of games your friend wins.

Suppose you play a series of 100 independent games. If you win a
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You play 10 consecutive games of chance. In one single game, you
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