computing expected value in a game of chance
Susan has a bag with 8 balls numbered 1 through 8 . She is playing a game of chance.
This game is this: Susan chooses one ball from the bag at random. She wins \( \$ 1 \) if the number 1 is selected, \( \$ 2 \) if the number 2 is selected, \( \$ 5 \) if the number 3
Kadyem is selected, \( \$ 6 \) if the number 4 is selected, \( \$ 8 \) if the number 5 is selected, and \( \$ 10 \) if the number 6 is selected. She loses \( \$ 13 \) if 7 or 8 is selected.
(a) Find the expected value of playing the game.
dollars
(b) What can Susan expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.)
Susan can expect to gain money.
She can expect to win \( \square \) dollars per selection.
Susan can expect to lose money.
She can expect to lose \( \square \) dollars per selection.
Susan can expect to break even (neither gain nor lose money).
xplanation
Check
- 2025 McGraw Hill LLC. All Rights Resened. Terms of Use I Privasy Center I Accesshiliny
554 PM