Suppose you’re playing a game using two dice. Upon throwing the two dice simultaneously, if their sum equals 4, then you get ₹1,000. If their sum is anything other than 4, you lose ₹100. What is the expected earning/loss in this 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.

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.

The expected value of a player’s winnings is positive, but we want to make it negative. Which of the following changes to the game would make the expected value negative?Increase the penalty to ₹25Decrease the prize money to ₹90

In a game, you have 1/36 probability of winning $100 and a 35/36 probability of losing $2. What is your expected value?

A game in a casino consists of drawing one card from a standard deck of cards. If the player  Draws an ace, they win €20Draws a face card(Jack, Queen,King) they win €10Draws a 10, they win €5Draws a 2, they lose €5Draws anything else(3 - 9), they win nothingCalculate the expected value of the game (Give your answer correct to 2 decimal places)

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).