Re: probability with simulation

*To*: mathgroup at smc.vnet.net*Subject*: [mg60523] Re: [mg60496] probability with simulation*From*: "benshimo at bgumail.bgu.ac.il" <bsyehuda at gmail.com>*Date*: Mon, 19 Sep 2005 04:45:41 -0400 (EDT)*References*: <200509180515.BAA02275@smc.vnet.net>*Reply-to*: benshimo at bgumail.bgu.ac.il*Sender*: owner-wri-mathgroup at wolfram.com

Isn't it a homework assignment? On 9/18/05, Sara <ma_sara177 at hotmail.com> wrote: > > I have a problem with probability. I have to solve a problem av > probability with simulation. i have done it with the combinatorial method > but I dont know how to use Mathematica to solve the problem with simulation. > can any one Help me please. If you want my result with combinatorial method > or my try with simulation I can email you. the problems are: > > 1)Find the probability of getting exactly two 1:s when throwing 5 dices. > Solve this problem with the combinatorial method and by simulation. > > We will play a very simple variant of poker. In the deck we have N cards > which are > called 1,2, ?, N. Each player is dealt 5 cards randomly. In this game > there are 3 types > of hands: > ? Straight: The 5 cards form a sequence, e.g. 3,4,5,6,7. > ? Parity: The 5 cars are all odd or all even. > ? Standard: A hand that is not a Straight or a Parity. > A Straight beats a Parity and a Parity beats a Standard. If we have two > hands of the > same type the hand with the highest top-card will win. > Problem 1 > Assume that there are 3 players including you. What is the probability > that you get a > Straight? Solve this problem first with. > The combinatorial method? (ihave don that) > Simulation? > Do it for N=15. Make a simulation for N=20. > Problem 2 > Let us assume N= 30, that there are 4 players including you, that the > cards are dealt > and you have a Parity with 20 as top-card. What is the probability that > you have a > winning hand? > >

**References**:**probability with simulation***From:*Sara <ma_sara177@hotmail.com>