Question

you are playing a game where you are rolling a fair 6-sided number cube. It costs $1.00 for every roll. If you roll an even number, you win $3.00. If you roll an odd number, you win nothing. Which of the following is the expected value of this game.

Answer 1

There is a 50% chance or a 3/6 chance that you win. S if you roll 3 times and only win once you gain and lose nothing. if you roll 2 times and win 1 time you win 1 dollar.

Answer 2

Answer: The odds are its gonna take 2 rolls to win, but it has cost you 2 bucks already at that point.....just to win the 3 dollar prize. So you are up 1 dollar now after 2 rolls. That means your profit is +.50 on each roll. Cost of or game value is therefore the +.50.

Explanation: