On three rolls of a single die, you will lose $10 if a 5 turns up at least once, and you will win $7 otherwise. What is the expected value of the game?
You will lose $10 if a 5 turns up at least once, and you will win $7 otherwise.
The probabilities of the defined events are
The expected value of the game is
On three rolls of a single die, you will lose $10 if a 5 turns up...
on three rolls of a single die you will lose $16 if a 2 turns up at least once and you will win $8 otherwise. What is the expected value of the game?
You and a friend are playing a game. You alternate turns rolling a single die, and the first person to roll a 1 or a 2 wins. Your friend goes first. a. What’s the probability that the game ends in three rolls or fewer? b. What’s the expected number of rolls? c. What’s the probability that your friend wins?
An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is .61 and the probability of a tail is .39 Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game?
In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars. (A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest...
An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is.36 and the probability of a tail is .64. Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game? E(X)= dollars (Type an integer or a decimal. Round to the nearest cent as needed.)
o An unfair coin is flipped. If a head turns up, you win 31.a tallume up you lose 31. The probably of head and the probably of a tall is 47. Lot X be the random variable for the amount won on a single play of this game. What is the expected of the game EX)-dollars (Type an integer or a decimal Round to the nearestent as needed)
in a game, you toss a fair coin and a fair six sided die. if you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. otherwise, you lose $6. what is the expected profit of one round of this game
A game of chance involves rolling a 17-sided die once. If a number from 1 to 3 comes up, you win 2 dollars. If the number 4 or 5 comes up, you win 7 dollars. If any other number comes up, you lose. If it costs 4 dollars to play, what is your expected net winnings? Answer = _____ dollars. Please include work to help me better understand how to solve.
15. Your friend challenges you to a game. She says that she is going to roll 2 6-sided dice. If the first die rolls at least 5, you win if the second die rolls less than 5. If the first die rolls less than 5, you win if the second die rolls at least 5. This seems fair. Is it? (a) What is the probability that you win this game? To incentivize you, your friend says that she will pay...
3. In this question we simulate the rolling of a die. To do this we use the func- tion runif (1),which returns a randomnumber in the range (0,1). To get a random integer in the range (1,2,3,4,5,6), we use ceiling(6 runif (1)) or if you prefer, sarple(1:6,size-1) will do the same job. (a). Suppose that you are playing the gambling game of the Chevalier de Méré. That is, you are betting that you get at least one six in 4...