Jim and Joe start a game with five tokens, three for Jim and two for Joe....
- Jim and Joe start a game with five tokens, three for Jim and two for Joe. A coin is tossed and if the outcome is heads, Jim gives Joe a token, else Jim gets a token from Joe. The game ends when Jim or Joe has all the tokens. a. Determine the probability that Joe will win in three coin tosses
b. Determine the average number of coin tosses needed before Jim wins.
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Jim and Joe start a game with five tokens, three for Jim and
two for Joe....
This is discrete mathematics If you do it right, I must give praise. You must use probability spa...
This is discrete mathematics
If you do it right, I must give praise.
You must
use probability space is a triple relative
acknowledge.
S: is a
sample sapce
E=p(s) is
the set of all events
P:
E-->R is a function.
The important thing that I need to say three times:
If you don't know how to do it, please don't do
it.
don't copy others,
especially for question (a), give sample space, probability
measure
The important thing that I need...
Please help me write these in R script / Code 1, Suppose you're on a game...
Please help me write these in R script / Code 1, Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car; behind the others, goats. You pick a door, say #1, and the host, who knows what's behind the doors, opens another door, say #3, which has a goat. He then says to you, "Do you want to pick door #2?" What is the probability of winning the car if...
Suppose you have a six sided die. One face is printed with the number 1. Two faces...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die lands with...
Suppose you have a six sided die. One face is printed with the number 1. Two...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/3. C_2 will land Heads with probability 1/5. C_3 will land Heads with probability 1/4. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Suppose you have a six sided die. One face is printed with the number 1. Two...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Suppose you have a six sided die. One face is printed with the number 1. Two...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
1 point) Three brothers play a game with a pair of fair (six-sided) dice. Scott will...
1 point) Three brothers play a game with a pair of fair (six-sided) dice. Scott will win if the sum of the dice is 3, Dave will win if 9, and Jim if 11 They will roll the die until a winner is declared Part (c) Realizing this, theoretically, is a game that could go on forever..the three brothers decide that if no winner has been decided in three rolls or "turns" Scott will be deemed the winner. Let Y...
Consider a pay-to-play game which involves flipping a coin three (3) times. The payout for the...
Consider a pay-to-play game which involves flipping a coin three (3) times. The payout for the game depends on the number of heads obtained in the three coin flips. Let the discrete random variable X represent the number of heads. a) What is the probability P{X = k} associated with each value k of the random variable? b) Suppose that the game has a payout of X^2 dollars. What is the minimum amount that should be charged for admittance (player...
(6(4 pts) A player (Joe) goes to a casino and plays a fair game. The player...
(6(4 pts) A player (Joe) goes to a casino and plays a fair game. The player may wager any amount of money. There is a 0.5 probability of winning. If the player wins, then the player get twice the amount of the bet in winnings. If the player loses, the player gets nothing. Think of betting on a coin toss. If you win you double your money, if you lose you lose your money. This is a "fair" game because...
In a game called heads, a player tosses a coin three times. S/he wins N$300 if...
In a game called heads, a player tosses a coin three times. S/he wins N$300 if 3 heads occur, N$200 if 2 heads occur, and N$100 if 1 head occurs. On the other hand, S/he loses N$1500 if no head occurs. Let Y be a random variable denoting the player's gain (or loss). The coin is biased such that the probability of landing heads up is 2/3. a) Find the probability distribution of Y b) Hence, or otherwise, find the...
This is discrete mathematics
If you do it right, I must give praise.
You must
use probability space is a triple relative
acknowledge.
S: is a
sample sapce
E=p(s) is
the set of all events
P:
E-->R is a function.
The important thing that I need to say three times:
If you don't know how to do it, please don't do
it.
don't copy others,
especially for question (a), give sample space, probability
measure
The important thing that I need...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/3. C_2 will land Heads with probability 1/5. C_3 will land Heads with probability 1/4. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
1 point) Three brothers play a game with a pair of fair (six-sided) dice. Scott will win if the sum of the dice is 3, Dave will win if 9, and Jim if 11 They will roll the die until a winner is declared Part (c) Realizing this, theoretically, is a game that could go on forever..the three brothers decide that if no winner has been decided in three rolls or "turns" Scott will be deemed the winner. Let Y...
(6(4 pts) A player (Joe) goes to a casino and plays a fair game. The player may wager any amount of money. There is a 0.5 probability of winning. If the player wins, then the player get twice the amount of the bet in winnings. If the player loses, the player gets nothing. Think of betting on a coin toss. If you win you double your money, if you lose you lose your money. This is a "fair" game because...
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