please use the chart to answer numbers 5-7 A carnival game is played as follows: A card is drawn from a standard deck. If the card drawn is a 3 ofdiamonds, the player wins $23. If the card drawn is a Red Ace, the player wins $8. If the card drawn is Black,the player loses $2. If none of these occur, the card is put back in the deck and the game is played again. Thecards are shuffled prior to cach play, and each play is from a complete 52-card deck. The rules of the game areclearly posted at the booth, and you can read them prior to playing.3 ofDiamondsBlackNone ofEventRed AceCardtheseValue ofEventP(event)5. Recall that Expectation is given by: E(x)=e,P(e,) +e,P(e,)+e,P(e,)+. where e, is the value ofevent I and P(e) is the probability of event 1. Determine the expected value of this game.a. 25b. 70e. 0d. 70e. 256. What does the result in #5 mean?a. It displays the chance that you will win (or lose) the game.b. It displays the probability that the vendor will win (or lose) the game.c. It displays the likelihood you will win (or lose) the game, on average, over time.d. It displays the amount of money you will win (or lose) per game, on average, over time.e. It is a random, made-up number that means nothing.7. Should you play this game?a. No, you will lose money, on average, each time you play.b. Yes, you will win money, on average, each time you play.c. It doesn't really matter; you will win as much as you lose in the long run.d. It depends on how the game is played.e. No, because the vendor is cheating.

Question

Accepted Answer

Here we have,

Event
3 of Diamonds
Red Ace
Black card
None of these

Value of evet
$23
$8
($-2)…