
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 5th, 2014, 07:21 PM  #1 
Senior Member Joined: Jan 2014 Posts: 196 Thanks: 3  Expected value and p.m.f. for pair of dice.
Please correct any errors, and let me know if there are more efficient ways of approaching a problem like this. Thank you! In the casino game called highlow, there are three possible bets. Assume that $1 is the size of the bet. A pair of fair six sided dice is rolled and their sum is calculated. If you bet low, you win $1 if the sum of the dice is . If you bet high, you win $1 if the sum of the dice is If you bet on , you win $4 if a sum of is rolled. Otherwise, you lose on each of the three bets. In all three cases, your original dollar is returned if you win. Find the expected value of the game to the bettor for each of these 3 bets. To start, I assume I need the p.m.f. for for each sum of two dice. * 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 Is there a more general, less labor intensive way of getting the probabilities? For If the bet is for 26, then =2,3,4,5,6 \\ 1 , \: \: x=7,8,9,10,11,12\end{cases}" /> then $ And the same technique for the other 2 bets? Thanks for any help! 
March 6th, 2014, 03:31 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,763 Thanks: 697  Re: Expected value and p.m.f. for pair of dice.
Your approach is correct.


Tags 
dice, expected, pair, pmf 
Search tags for this page 
in the casino game called high low,dice pair value,pmf of two dice sum,in the casino game called highlow there are three possible bets
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Pair of dice.  hamburgertime  Advanced Statistics  1  April 16th, 2013 03:13 PM 
Probability of pair of rolling dice  pksinghal  Probability and Statistics  3  October 23rd, 2010 03:03 PM 
Probability of 4 of 6 dice containing exactly one pair  pksinghal  Probability and Statistics  3  February 7th, 2010 08:05 AM 
Dice probability with multicolored dice pips  Brimstone  Algebra  10  May 30th, 2008 07:36 PM 
Expected value (dice game)  hales  Algebra  5  September 12th, 2007 09:42 AM 