a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice sum to 11 or 8. How much should you win or lose if any other number turns up in order for the game to be fair?
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a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice sum to 11 or 8. How much should you win or lose if any other number turns up in order for the game to be fair?
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- A pair of dice is rolled. What are the odds of rolling a sum of 4 or a sum of 7? The odds of rolling a sum of 4 or a sum of 7 are to (Simplify your answer.)Question: Samples arriving at a certain laboratory may be given a number of tests to determine the presence of COVID 19 virus. If the result of test A is positive, then the sample is subjected to test B. If the result of test B is positive, then it is subjected to test C. If the result of test C is positive, then it is assumed that the sample contains COVID 19 virus. Suppose that the probabilities of false positives for the tests A, B, and C are 0.05, 0.10 and 0.15, respectively, and the probabilities of false negatives are 0.01, 0.02 and 0.03, respectively. Furthermore, suppose that 10% of samples arriving at the laboratory contain COVID 19 virus. a. Find the probability that the laboratory will falsely assume the absence of COVID 19 virus in the sample. b. Find the probability of samples tested by the laboratory is reported to contain COVID 19 virus. c. What percent of the samples tested by the laboratory are reported to contain no trace of COVID 19 virus? d. What percent of the…It costs $6.75 to play a very simple game, in which a dealer gives you one card from a deck of 52 cards. If the card is a heart, spade, or diamond, you lose. If the card is a club other than the queen of clubs, you win $10.50. If the card is the queen of clubs, you win $49.00. The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny? $i
- Show all steps, please and thank you.This game is called “Get Negative”. Roll two dice (record these in the order you roll them), and then do then do the following: take the first number rolled and subtract 2 times the second number rolled. Regardless of who rolls, Player A gets 3 points if the product is greater than or equal to 0 (i.e. it is zero or positive); Otherwise Player B gets 1 points. The players may or may not take turns rolling the dice as it does not matter who is rolling. Any player may score on any roll, and every roll will result in a score. Play the game by rolling the dice 25 times. For each turn, keep a record of both dice and the resulting answer and the points scored, according to the rules above. Tally the points and calculate the final score for each player. Remember, someone gets a point for each turn, depending on the numbers rolled. (One does not have to be rolling to receive the points.) (Note: you may test the game by yourself by doing all of the 25 rolls yourself and just giving the…In the game "Rolling for Rubles", you win $1 for rolling a 1, $2 for a 2 and so on till $6 for rolling a 6. What would be the fair price for a ticket to play this game? $2.50 $3 $4 $4.50 $3.50 None of the other answers is correct.
- A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following results: Even number = lose $9 1 or 3 = win $2 5 = win $10.For 8 TL a player can roll a pair of dice once. If the player gets a double, he is allowed to choose an envelope from a box containing four identical envelopes which, however, contain different amount of money. The amounts are 5 TL, 25 TL, 50 TL and 100 TL. If he played this game 25 times, how much would he expected to lose? O a. 37,5 O b. 162,5 O . 12,5 O d. 7,5 O e. 187,5Which of the following problems must be determined using a combination? Determine the probability of rolling doubles with a pair of dice. Determine the number of ways a President and Vice-President can be chosen from a class of 20 students. Determine the number of ways Billy and Samantha can be chosen when a group of 5 is selected from a class of 20 students. Determine how many ways 10 people can sit on a bench. acer F11 F12 Break F10 F9 F7 F8 F6 F5 MICT * & 96 8.
- you roll two standard dice. If you roll doubles, then you pay $5. If the game is fair, what would the house have to pay if you do not roll doubles?If you play this game 150 times, how much would you expect to win or lose?You draw a card from a deck of 52 cards. If the card is a spade, you win $5, but if the card is not a spade you lose $2.What is your expected earning from this game?
