In a game a player draws and replaces a card from a deck 2 times. The possible outcomes and payouts are shown. What is the
expected value for someone playing the game?
**plz help me***

Given:

Given that in a game a player draws and replaces a card from a deck 2 times.

The possible outcomes and payouts are given.

We need to determine the expected value for someone playing the game.

Expected value:

The expected value for someone playing the game can be determined by

Simplifying the values, we have;

Dividing the terms, we get;

Adding, we have;

Thus, the expected value for someone playing the game is $8

step-by-step explanation:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).