Next: Conditional Probability Up: What are the chances Previous: What are fair games Index Probabilities for the two dice The colors of the body of the table illustrate the number of ways to throw each total. The probability of throwing any given total is the number of ways to throw that total divided by the total number of combinations (36). Analytic Solution The probabilities involved are simple rank statistics for two uniform discrete To get this probability we first add the probability of rolling the desired number or above on either die […] sided dice and take the larger or the smaller of the rolls, respectively. Andrew Gelman's blog has a...

Then enter the mean and standard deviation for six dice, followed by the area (which we've been calling the probability) of 0.3 for 30%. In a dice-driven horse race where each player will roll a 6-sided die 50 times, suppose the results after turn 1 are 1 versus 6. This early in the game, with 49...