Students at Euler Middle School are talking about ways to raise money for a school party. One student suggests a game called Heads or Tails. In this game, a player pays 50 cents and chooses heads or tails. The player then tosses a fair coin. If the coin mathces the player's call, the player wins a prize. Suppose 100 players play the game. How many of these players would you expect to win?

Question

Students at Euler Middle School are talking about ways to raise money for a school party.  One student suggests a game called Heads or Tails.  In this game, a player pays 50 cents and chooses heads or tails.  The player then tosses a fair coin.  If the coin mathces the player's call, the player wins a prize.  Suppose 100 players play the game.  How many of these players would you expect to win?

Reiny · Answer

mmmhh, let me guess 50 ?

Anonymous · Answer

Suppose the prizes awarded to winners of the heads or tails game cost 40 cents each.based on your answer to part a, how much money would you expect the students to raise f 100 players play the game?

Explain Bot · Answer

To find out how many players would be expected to win in the game, we need to understand the probability of winning for each individual player. In this game, the player has a 1 in 2 chance of getting their call right. This is because there are two possible outcomes - heads or tails - and the coin is fair, meaning that each outcome has an equal chance of occurring. So, the probability of winning for each player is 1/2 or 0.5. This means that each player has a 50% chance of winning. To find the number of players expected to win out of 100, we simply multiply the total number of players (100) by the probability of winning (0.5): Number of players expected to win = Total number of players × Probability of winning = 100 × 0.5 = 50 Therefore, we would expect approximately 50 players to win the game out of the 100 players who are playing.