You could win a $1000 prize by tossing a coin in one of two games. To win Game A, you must get
Exactly 50% heads. To win Game B, you must get between 45% and 55% heads. Although which
Game you must play will be chosen randomly, then you may decide whether to toss the coin 20
Times or 50 times. How many tosses would you choose to make?
A) 20 tosses for either game
B) 20 tosses for A, 50 tosses for B
C) 50 tosses for either game
D) It does not matter.
E) 50 tosses for A, 20 tosses for B

Question

Quizplus · Accepted Answer

For Game A, 50 tosses increase the probability of getting exactly 50% heads due to the law of large numbers. For Game B, 50 tosses also increase the probability of getting between 45% and 55% heads.

You Could Win a $1000 Prize by Tossing a Coin