Now, can you calculate the expected value of X (where X is the money won by the player after playing the game once)?X (Money won after playing once) Probability+150 0.133−10 0.867You can use this probability distribution to find the answer

Suppose we change the game’s rules to the following:Outcome Prize4 red balls +1504 blue balls -150Any other outcome -10What will be the expected value for X (the amount of money won by a player after playing the game once)?-2.5-5+2.5+7.5

John has a deck of 10 cards numbered 1 through 10. He is playing a game of chance.This game is this: John chooses one card from the deck at random. He wins an amount of money equal to the value of the card if an odd numbered card is drawn. He loses $3.40 if an even numbered card is drawn.(If necessary, consult a list of formulas.)(a) Find the expected value of playing the game.dollars(b) What can John expect in the long run, after playing the game many times?(He replaces the card in the deck each time.)John can expect to gain money.Hecanexpecttowindollarsperdraw.John can expect to lose money.Hecanexpecttolosedollarsperdraw.John can expect to break even (neither gain nor lose money).

Becca plays a game in which she can purchase a ticket. Each ticket has several chances, or "catches," to win money.The table below shows the probability of winning at each stage, and how much money the ticket can win at each catch. Every time Becca plays the game, her ticket is played through each catch, which means she can win money at each stage.Catch Probability WinningsCatch 0 40% $1Catch 1 45% $5Catch 2 12% $10Catch 3 3% $25Given the probabilities and payout values in this table, what is the expected value of Becca's ticket?a.)$4.60b.)$1.20c.)$10.25d.)$41.00

Justin is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random.This game is this: Justin rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. He loses $6.50 if a 5 or 6 is rolled.(If necessary, consult a list of formulas.)(a) Find the expected value of playing the game.dollars(b) What can Justin expect in the long run, after playing the game many times?Justin can expect to gain money.Hecanexpecttowindollarsperroll.Justin can expect to lose money.Hecanexpecttolosedollarsperroll.Justin can expect to break even (neither gain nor lose money).

Rahul wants to play a poker game. The entry charge for the game is ₹2,000, which is non-refundable, and the probability that Rahul will win a poker game is 3%. The prize money is ₹50,000. If Rahul wins, he gets the prize money. If he loses, he gets nothing. What is his expected earning/loss per game? Note:1. Round off your final answer to two decimal places. If your answer is 1.333333, write 1.33 in the box.2. If the expectation is a loss, make sure you write a negative number. For instance, −2.5 is a valid answer.