A dice game is played with two distinct 12 sided dice. It costs $3 to roll...

Question

Question

Answer 1

Answer #1

Please post 1 question per post, as per forum rules:

1.

Sum of 13 is got with probability ?

{12,1}*2
{11,2}*2
{10,3}*2
{9,4}*2
{8,5}*2
{7,6}*2 = 12 ways

{11 or 15}
11 - {10,1}*2
{9,2}*2
{8,3}*2
{7,4}*2
{6,5}*2
=10 ways

15 - {12,3}*2
{11,4}*2
{10,5}*2
{9,6}*2
{8,7}*2
=10 ways

Sum of 7
{6,1}*2
{5,2}*2
{4,3}*2
=6 ways

Sum of 9
{6,3}*2
{7,2}*2
{8,1}*2
{4,5}*2
=8 ways

Sum of 17
{12,5}*2
{11,6}*2
{10,7}*2
{9,8}*2 = 8 ways

Sum of 19
{12,7}*2
{11,8}*2
{10,9}*2
= 6 ways

= 6+8+8+6 = 28 ways

Total kind of dice plays =12*12 = 144

Expected value = (12/144)*10 + (10+10)*6/144 + (28*3/144) - $3
= -$0.75

So, expected value is a loss of 75 cents or a loss of $.75

Answer 2

Similar Homework Help Questions

2. "Craps" is a game played by rolling two fair dice. To play one round of...

2. "Craps" is a game played by rolling two fair dice. To play one round of this game, the player rolls the dice and the outcome is determined by the following rules: If the total number of dots is 7 or 11 (a "natural"), then the player wins. If the total number of dots is 2, 3, or 12 C'craps"), then the player loses. If the total number of dots is 4, 5, 6,8,9, or 10, then this number is...
using python [6] Craps is a dice-based game played in many casinos. Like blackjack, a player...

using python [6] Craps is a dice-based game played in many casinos. Like blackjack, a player plays against the house. The game starts with the player throwing a pair of standard, six-sided dice. If the player rolls a total of 7 or 11, the player wins. If the player rolls a total of 2,3, or 12, the player loses. For all other roll values, the player will repeatedly roll the pair of dice until either she rolls the initial value...
A player pays $10 to roll two six-sided dice. She wins $50 if she rolls a...

A player pays $10 to roll two six-sided dice. She wins $50 if she rolls a sum of 10 and $20 if she rolls a sum of 8. Given the probability distribution for the game (below), compute the expected value of the game to the nearest cent.

The dice game craps is played as follows. The player throws two dice and if the...

The dice game craps is played as follows. The player throws two dice and if the sum is seven or eleven, the player wins. If the sum is two, three, or twelve the player loses. If the sum is anything else, the player continues throwing until either that same number is thrown again (in which case the player wins) or the player throws seven (in which case the player loses). Calculate the probability the player wins within 0.01 (hint -...
. In the carnival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the...

. In the carnival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the resulting sum determines whether the player wins or loses his or her bet. For example, the player can bet $1 that the sum will be under 7—that is, 2, 3, 4, 5, or 6. For this bet, the player wins $1 if the result is under 7 and loses $1 if the outcome equals or is greater than 7. Similarly, the player can bet...
A dice game is played as follows: The "buy-in" to play a round costs $4. Then...

A dice game is played as follows: The "buy-in" to play a round costs $4. Then a fair 6-sided die is rolled and the player receives an equal number of dollars as the number shown on the die (i.e. 1 earns $1, 2 earns $2, etc.). What is the player's expected profit from playing one round of the game? -$0.25 $0.25 O-$1.00 -$0.50 Page 4 of 34 Dronnie Dace Next Pare

Example Consider the following dice game. A pair of standard ( fair ) dice are repeatedly...

Example Consider the following dice game. A pair of standard ( fair ) dice are repeatedly rolled. If a ’ 7 ’ comes up before an ’ 11 ’ , then the player wins, otherwise the player loses. Let W be the event that the player wins. Find P(W). To say the dice are fair is equivalent to assuming that Laplace’s rule holds and the 36 possible outcomes for a throw of the dice are equally likely. For convenience, an...
In the carnival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the resulting...

In the carnival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the resulting sum determines whether the player wins or loses his or her bet. For example, using method one, the player can bet $2.00 that the sum will be under 7, that is, 2, 3, 4, 5, or 6. For this bet, the player wins $2.00 if the result is under 7 and loses $2.00 if the outcome equals or is greater than 7. Similarly, using...
Suppose a casino has a game where a fair six-sided die is rolled. If an odd...

Suppose a casino has a game where a fair six-sided die is rolled. If an odd number is rolled, the player loses $2. If a six is rolled, the player wins $20. Otherwise, the player loses $1. If a player played this game 1000 times, how much money should he expect to gain (or lose)? Show work.

9. In the casino dice game Craps, players make wagers on a sequence of rolls of...

9. In the casino dice game Craps, players make wagers on a sequence of rolls of a pair of dice. A sequence of rolls starts with the "shooter" making an initial roll of two dice called the "come-out” roll. If the sum of the dice on the initial roll is 7 or 11 then a player with a bet on the Pass Line wins. If the initial roll results in a sum of 2, 3, or 12 ("craps") then a...