Question

Problem 5: A game is played using one die. A player must pay $5 to play. Then, when the die is rolled, if it: \begin{itemize} \item shows a 2, 4, or 6 (even number), the player gets the $5 back, \item shows a 1, the player gets $15. \item shows any other number, the player gets nothing. \end{itemize} What is the game's expected value?

          Problem 5: A game is played using one die. A player must pay $5 to play. Then, when the
die is rolled, if it:
\begin{itemize}
    \item shows a 2, 4, or 6 (even number), the player gets the $5 back,
    \item shows a 1, the player gets $15.
    \item shows any other number, the player gets nothing.
\end{itemize}
What is the game's expected value?

Problem 5: A game is played using one die. A player must pay 5 to play. Then, when the
die is rolled, if it:

* shows a 2, 4, or 6 (even number), the player gets the 5 back,

* shows a 1, the player gets15.

* shows any other number, the player gets nothing.

What is the game's expected value?

Added by Felicia S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ramesh Rajak

Step 1

Since there are 6 possible outcomes and 3 of them are even, the probability is 3/6 = 1/2. Show more…

Show all steps

Thanks for your feedback!

Problem 5: A game is played using one die. A player must pay $5 to play. Then, when the die is rolled, if it shows a 2, 4, or 6 (even number), the player gets the $5 back. If it shows a 1, the player gets $15. If it shows any other number, the player gets nothing. What is the game's expected value?