For the function g(x)=4X-3,
g(2) =

a) - 0.54

b) No, we expect Andy to lose money each time he plays this game. This game is not a good way to make money.

Step-by-step explanation:

We are told the game costs $2 to play.

In a card game, we have the following:

Total number of cards = 52

Number of number cards (2-10)=36

Number of face cards = 12

Number of ace = 3

Number of ace of clubs = 1

The probability and profits of the game is calculated below.

Probability he gets a number card 2-10 =

Profit = - $2

Probability he gets a face card:

Profit = $3 - $2 = $1

Probability he gets an ace:

Profit = $5 - $2 =$3

Probability he gets an ace of clubs:

Profit = $25 - $2 =$23

Andy's expected profit per game wil be given as:

E = probability * profit

= [(0.69 * -2)+(0.23 * 1)+(0.06 * 3)+(0.02 * 23)]

= -0.54

b) No, we expect Andy to lose money each time he plays this game. This game is not a good way to make money.

Andy's expected profit per game (-0.542) is negative, which means he doesn't make any profit per game.