Suppose three dice are rolled. Each die is equally likely to take values between 1 and 6, inclusive. Given that all three dice have different values. Find the probability that the smallest value of the three dice is 2.
Suppose three dice are rolled. Each die is equally likely to take values between 1 and...
A 10 sided dice is rolled once and assumes that all outcomes are equally likely to occur. Let A denote the event that an even number will be observed when rolling the die. what is the probability of Event A occuring?
In Yahtzee, 5 standard dice are rolled up to three times on a given turn. A player can choose to save anywhere from 0 - 5 of the dice between rolls 1 and 2 and between rolls 2 and 3, meaning that the player can set aside certain dice before rolling the remaining dice if they choose to do so. Suppose that a given player does not take advantage of saving die rolls and instead rolls all 5 dice each...
a 6-sided die is rolled . The set of equally likely outcomes is {1,2,3,4,5,6}. Find the probability of rolling a number less than 10.
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
4. Three fair dice have different colors: red, blue, and yellow. These three dice are rolled and the face value of each is recorded as R, B, Y, respectively. (a) Compute the probability that B< Y < R, given all the numbers are different; (b) Compute the probability that B< Y< R.
A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.One die shows a 5, and the other is a number less than 2.
(2) Three dice are rolled. If each lands on a different number, find the probability that one is 3. (2) Three dice are rolled. If each lands on a different number, find the probability that one is 3.
If we roll a red 6-sided die and a green 6-sided die (both are fair dice with the numbers 1-6 equally likely to be rolled), what is the probability that we get (i) A 5 on the green die AND a 3 on the red die? (ii) A 5 on the green die OR a 3 on the red die? (iii) A 5 on the green die GIVEN we rolled a 3 on the red die?
A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2. The probability of getting two numbers whose sum is 2 is (Type an integer or a simplified fraction.)
Two four-sided dice, one red and one white, will be rolled. List the possible values for the following random variable. Let Y = difference between the number on the red die and the number on the white die (red-white). a. Draw the probability histogram for this random variable. b. What is the most likely value of Y? c. What is the probability that the difference on the dice is negative? Use proper notation throughout. Write your answer as a decimal.