For example,the result of rolling a fair six-sided diecould be viewed as a random variable. For this random variable, each of the six possible outcomes has a probability of 1/6. The probability distribution of this random variable is given in the following table: ...
This is called the expected value of the game, and in this lesson we will learn how to calculate it. In casinos, there is a game called 'craps,' which involves rolling two six-sided dice. The rules are somewhat complicated, but understanding the probabilities of the different combinations...
6 6 x X P x = ⋅ + + 83+ to assist with the calculation. Enter the outcomes into L1 and the E(X) = 3.5. Now for variance and standard deviation: Using the expected value of rolling a die of 3.5 as µ x x, and the population mean, µ x . . Also, standard deviati...
If you roll two-four sided dice (numbered 1,2,3, and 4), what is the probability that the sum of the dice is 3? What is the probability of rolling 20 sixes in a row on a fair die? A six-sided die, with a number from 1 to 6 on each side, is rolled twice. ...
What is the probability that when a pair of dice is rolled, at least one die shows a 3 or the dice sum to 8? What is the probability of getting the result as a sum of 10 on rolling a standard pair of 6-sided dice? Suppose that we roll a pai...
a) What is the probability that the sum is 5 given that exactly one of the dice comes up a 3? b) What The probability of rolling two six-sided dice and having the sum on the two dice equal 7 is 1/6. You roll...
b) What is the expected number of dots showing in a toss of two die? c) Find the probability of not rolling a 6 until the 9th roll of a single dice. A coin is biased so that the probability a head comes up wh...