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?
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 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
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 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) 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 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 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 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 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. 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?