Question

Mason plays a game by flipping three fair coins. He wins the game if all three coins land facing heads up. If Mason plays 400 times, how many times should he expect to win? Explain.

Answer 1

Mason can expect to win 50 times out of the 400 games he plays.

Step-by-step explanation:

To find how many times Mason should expect to win, we need to calculate the probability of winning with each coin flip and then multiply that probability by the number of times he plays the game.

Since each coin is fair, the probability of getting heads on one flip is 1/2. Since Mason flips three coins, the probability of getting all three heads is (1/2) * (1/2) * (1/2) = 1/8.

Therefore, Mason can expect to win 1/8 times out of the 400 games he plays. Multiplying (1/8) by 400 gives us an expected win of 50 times.