Valuing a Modified Coin Toss Gift

A friend offers you a choice of a gift. You can either accept $15 for certain, or you can play a game where you roll a standard six-sided die. If the die shows a 5 or a 6, you receive $50. If it shows any other number, you receive $5. Based on a calculation of the average outcome you would expect from the game if it were played many times, which statement is the most accurate?

New Product Launch Decision

Consider a game where you draw one card from a standard 52-card deck. If you draw a heart, you win $10. If you draw any other suit, you lose $2. The statement 'The average amount you would expect to win or lose per game, if you played many times, is a positive value' is true.

Weighted Coin Game Payoff

A game involves a spinner with two equal sections. One section results in a prize of $50, and the other results in a prize of $10. Match each component of the expected payoff calculation with its correct numerical value based on this game.

You are offered a chance to play a game involving a single toss of a fair coin. If the coin lands on heads, you win $30. If it lands on tails, you lose $10. The average amount you would expect to gain or lose per game, if you were to play many times, is $____.

Investment Opportunity Evaluation

Arrange the fundamental steps for calculating the weighted average of all possible results from an uncertain event (like a game of chance) into the correct logical sequence.

A carnival game involves drawing a single ball from a bag that contains 2 green balls and 8 purple balls. Drawing a green ball wins you $50. The overall expected prize value from playing this game one time is calculated to be $18. What is the prize value for drawing a purple ball?

Investment Strategy Comparison