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.

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.

This question is a continuation of the previous question. Based on the expected value of the previous question, which of the following is a possibility for Rahul?Note: Multiple options may be correct.Rahul wins ₹50,000 prize money in the first game.Rahul loses all the first 100 games.Rahul loses ₹500 rupees in the first game.

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)

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

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