In the game where A, B and C play together with dice. A rolls first., then...

In the game where A, B and C play together with dice. A rolls first., then B, then C and again A, B,... What is the probability that A is the first person that flips 6 first?

A. 0.4727

B. 0.2379

C. 0.3956

D. 0.5

Solutions

Expert Solution

The solution to this problem is given below

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In a dice game a player first rolls two dice. If the two numbers are l...

In a dice game a player first rolls two dice. If the two numbers are l ≤ m then he wins if the third roll n has l≤n≤m. In words if he rolls a 5 and a 2, then he wins if the third roll is 2,3,4, or 5, while if he rolls two 4’s his only chance of winning is to roll another 4. What is the probability he wins?

PROGRAMMING IN C-DICE GAME Q1. A player rolls two dice at the same time. Each die...

PROGRAMMING IN C-DICE GAME Q1. A player rolls two dice at the same time. Each die has six faces, which contain 1, 2, 3, 4, 5 and 6 spots. After the dice have come to rest, the sum of the spots on the two upward faces is calculated. (i) If the sum is 2 or 10 on the first throw, the player wins. (ii) If the sum is 3, 7 or 12 on the first throw, the player loses. (iii)...

Two players A and B play a game of dice . They roll a pair of...

Two players A and B play a game of dice . They roll a pair of dice alternately . The player who rolls 7 first wins . If A starts then find the probability of B winning the game ?

Two players A and B play a dice game with a 6-face fair dice. Player A...

Two players A and B play a dice game with a 6-face fair dice. Player A is only allowed to roll the dice once. Player B is allowed to roll the dice maximally twice (that is, Player B can decide whether or not she or he would roll the dice again after seeing the value of the first roll). If the player with the larger final value of the dice wins, what is the maximal probability for Player B to...

You make a carnival game, where the player rolls two fair dice (in a single roll)...

You make a carnival game, where the player rolls two fair dice (in a single roll) and attempts to roll doubles (meaning both dice show the same number). The player puts down a dollar to play the game. If the player loses, they lose their dollar. If the player wins, they win $3 (and do not lose their original dollar). Answer the following (5 pts total). If you are running the game, what is the expected value of how much...

:) Alice and Bob play the following game: in each round, Alice first rolls a single...

:) Alice and Bob play the following game: in each round, Alice first rolls a single standard fair die. Bob then rolls a single standard fair die. If the difference between Bob’s roll and Alice's roll is at most one, Bob wins the round. Otherwise, Alice wins the round. (a) (5 points) What is the probability that Bob wins a single round? (b) (7 points) Alice and Bob play until one of them wins three rounds. The first player to...

In the game of Lucky Sevens, the player rolls a pair of dice. If the dots...

In the game of Lucky Sevens, the player rolls a pair of dice. If the dots add up to 7, the player wins $4; otherwise, the player loses $1. Suppose that, to entice the gullible, a casino tells players that there are lots of ways to win: (1, 6), (2, 5), and so on. A little mathematical analysis reveals that there are not enough ways to win to make the game worthwhile; however, because many people’s eyes glaze over at...

In the game of Lucky Sevens, the player rolls a pair of dice. If the dots...

In the game of Lucky Sevens, the player rolls a pair of dice. If the dots add up to 7, the player wins $4; otherwise, the player loses $1. Suppose that, to entice the gullible, a casino tells players that there are many ways to win: (1, 6), (2, 5), and soon. A little mathematical analysis reveals that there are not enough ways to win to make the game worthwhile; however, because many people's eyes glaze over at the first...

You are rolling a pair of balanced dice in a board game. Rolls are independent. You...

You are rolling a pair of balanced dice in a board game. Rolls are independent. You land in a danger zone that requires you to roll doubles (both faces show the same number of spots) before you are allowed to play again. 1. What is the probability of rolling doubles on a single toss of the dice? A) 25/36 B) 5/36 C) 1/6 D) 1/36 2. What is the probability that you do not roll doubles on the first toss,...

You pay $1 to play a game. The game consists of rolling a pair of dice....

You pay $1 to play a game. The game consists of rolling a pair of dice. If you observe a sum of 7 or 11 you receive $4. If not, you receive nothing. Compute the expected value and standard deviation for this game?

Subjects