# A coin is flipped three times. James is declared the winner if there are at least two tails. Peter is declared the winner if there is a head flipped.a. How many different outcomes are there?b. What is the probability that James wins?c. What is the probability that Peter wins?d. Is the game fair?e. Are there any outcomes where the game would be tied?f. Are there any outcomes where no one would win?

## Related Questions

On two investments totaling $6,000, Kevin lost 3% on one and earned 6% on the other. If his net annual receipts were$288, how much was each investment?

$800 was invested in the account at 3%$5200 was invested in the account at 6%

STEP-BY-STEP EXPLANATION:

We can establish the following system of equations thanks to the help of the statement:

Let x represent the amount invested in the investment that lost value

Let y represent the amount invested in the investment that gained

value.

We replace equation (1) in (2) and solve for x:

Therefore, $800 was invested in the account the lost value, and$ 5200 was invested in the account that gained value.