Aperson creates a game in which a person pays $5.00 to play. then, they draw a single card from a standard
shuffled deck of cards.
if they draw a face card, they win $10.00 (i. e. they get their $5.00 back and get an extra $5.00).
if they draw an ace, they win $20.00 (i. e. they get their $5.00 back and get an extra $15.00).
with any other draw they lose their money.
what is the expected money value playing this game?
allee sila
itt:
sonte
-$5.00
-$1.15
$1.31
$0.38

Option B.

Step-by-step explanation:

Cost of game = $5.00

If they draw a face card, they win $10.00 (i.e. they get their $5.00 back and get an extra $5.00).

Winning amount = $5

Number of face cards = 12

Probability of getting a face card =

If they draw an ace, they win $20.00 (i.e. they get their $5.00 back and get an extra $15.00).

Winning amount = $15

Number of ace = 4

Probability of getting an ace  =

Any other draw they lose their money.

Number of other card (Exclude ace and face cards) = 52-4-12=36

Probability of getting other cards  =

The expected money value playing this game is

E(x) = 5 × P(face cards) + 15 × P(Ace) - 5 × P(Other cards)

The expected money value playing this game is -$1.15

Therefore, the correct option is B.

step-by-step explanation:

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