Miguel has a bag with 8 balls numbered 1 through 8. He is playing a game of chance. This game is this: Miguel chooses one ball from the bag at random. He wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, $6 if the number 4 is selected, $8 if the number 5 is selected, and $10 if the number 6 is selected. He loses $13 if 7 or 8 is selected. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. I| dollars (b) What can Miguel expect in the long run, after playing the game many times? (He replaces the ball in the bag each time.) O Miguel can expect to gain money. He can expect to win dollars per selection. O Miguel can expect to lose money. He can expect to lose dollars per selection. O Miguel can expect to break even (neither gain nor lose money).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Miguel has a bag with 8 balls numbered 1 through 8. He is playing a game of chance.
This game is this: Miguel chooses one ball from the bag at random. He wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is
selected, $6 if the number 4 is selected, $8 if the number 5 is selected, and $10 if the number 6 is selected. He loses $13 if 7 or 8 is selected.
(If necessary, consult a list of formulas.)
(a) Find the expected value of playing the game.
| dollars
(b) What can Miguel expect in the long run, after playing the game many times?
(He replaces the ball in the bag each time.)
O Miguel can expect to gain money.
He can expect to win dollars per selection.
O Miguel can expect to lose money.
He can expect to lose dollars per selection.
O Miguel can expect to break even (neither gain nor lose money).
Transcribed Image Text:Miguel has a bag with 8 balls numbered 1 through 8. He is playing a game of chance. This game is this: Miguel chooses one ball from the bag at random. He wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, $6 if the number 4 is selected, $8 if the number 5 is selected, and $10 if the number 6 is selected. He loses $13 if 7 or 8 is selected. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Miguel expect in the long run, after playing the game many times? (He replaces the ball in the bag each time.) O Miguel can expect to gain money. He can expect to win dollars per selection. O Miguel can expect to lose money. He can expect to lose dollars per selection. O Miguel can expect to break even (neither gain nor lose money).
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 8.
Event B: The sum is divisible by 4.
Round your answers to two decimal places.
(a) P(A) = ||
%3D
(b) P(B)
%3D
Transcribed Image Text:An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 8. Event B: The sum is divisible by 4. Round your answers to two decimal places. (a) P(A) = || %3D (b) P(B) %3D
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