Suppose we have an unfair 6-sided die, where the probability of rolling a 1 is 1/3, and the probability of rolling each of 2 through 6 is 2/15 each. What is the probability of rolling an odd number with this die?

If a single 8-sided die is tossed once, find the probability of rolling an even number. The probability is (Type a whole number or a simplified fraction.)

Suppose we roll a die once. What is the probability that we roll a 4 or an even number?

Using a standard six-sided die, Janice rolled either a 2 or a 5on the last 6 rolls of the die. What is the probability of Janice rolling a 2or a 5 on her 7th toss of the die?   1/7   2/7   1/3   1/6

A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that one die resulted in a​ 2, given that the sum is 8

Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)