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CRAPS TABLE: GET THE FACTS TO WIN AT CRAPS
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Games - 68
Do You Want to Win Big? Get Yourself a Craps Table! Lets talk craps tables , shall we? Here are some questions I have been asked by our fellow readers:. There arent any " regulation craps tables " in the casinos. Casinos can decide what kind of tables they want in terms of height, types of railings, chip racks, width of table, and height of walls. They determine the size the of rubber pyramids, layout material and design. Most craps tables will have their layout i. This is the closest you will come to a "regulation" height.
It is rare that you will find a craps table with floorettes that are more than 29 inches, or less than 27 inches above the floor. Craps tables come in various lengths , the most common of which are foot and foot tables , which are known as "aircraft carriers. The traditional material of a craps table layout is felt, but many new tables have several types of synthetic fibers substituting for the felt.
Casinos have put in these fibers for three reasons; they last longer, they can be more colorful, and more creative designs can be made on them.
Felt tends to wear more quickly than the synthetic fibers. Unfortunately, there is a big drawback to synthetic fibers they are very bouncy and the dice leave the table more often, which slows down your precision dice shooting. Most players will usually ask for the same dice. That forces the boxman to check the dice while the game stops.
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For two dice, the possible rolls and probability of each roll are usually represented by a matrix. Because the rolls are independent, the joint probability is computed as the product of the marginal probabilities. You can also create a matrix that summarizes the various ways that each particular number can occur:. You can use the event and probs matrices to compute the probabilities of each possible sum of two dice. There are several ways to do this, but I like to use the LOC function to find the elements of the event matrix that correspond to each roll, and then add the associated probabilities:.
The preceding table shows the probabilities of each roll. Note that the probability of rolling a 1 with 2 dice is zero. You can use the table to compute the probability of winning at craps. If you roll a 7 or 11 on the first roll, you win. If you roll a 2, 3, or 11, you lose. According to the computation, the probability of winning at craps is almost—but not quite! This exercise shows that having a matrix and vector language is useful for computing with probabilities. More importantly, however, this post sets the foundations for looking at the interesting case where the two dice are not fair.
If you change the definition of dieProb on the first line of the program so that it is no longer a constant vector, all of the computations are still valid! Next week I will post an article that shows how the odds change if some sides of the dice are more likely to appear than others. Feel free to conduct your own investigation of unfair dice before then. You are welcome to subscribe to e-mail updates, or add your SAS-blog to the site. Home About add your blog Contact us.
Let me count the ways How to convert the datetime character string to SAS datetime value? How to Handle Negative Data Values? Dice probabilities and the game of "craps" October 4, You can also create a matrix that summarizes the various ways that each particular number can occur: Just for Fun , Statistical Programming.
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