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) 50 tosses for either.
B) 50 tosses for A, 20 tosses for B.
C) 20 tosses for either game.
D) It does not matter.
E) 20 tosses for A, 50 tosses for B.

Question

Quizplus · Accepted Answer

With more tosses, the percentage of heads is more likely to be close to 50%, which is beneficial for Game B. For Game A, fewer tosses increase the chance of getting exactly 50% heads.

You Could Win a $1000 Prize by Tossing a Coin