Consider a game in which a fair die is rolled. if the die comes up 1, the player wins $2. if the die comes up 2, the player wins $1. for all other outcomes, the player loses $1. what is the expected amount that the player wins or loses? round to the nearest cent.

Expected amount is loss of 0.167 $.

Step-by-step explanation:

Probability is the ratio of number of favorable outcome to total number of outcomes.

Total number of outcomes = 6, since the die has 6 faces.

If the die comes up 1, the player wins $2. If the die comes up 2, the player wins $1. For all other outcomes, the player loses $1.

Now we need to find expected amount that the player wins or loses.

Expected amount = ∑Probability of event x Winning or losing on that event

Expected amount is loss of 0.167 $.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.