the answers to this question should not be evaluated numerically. They should be left in terms of factorials and/or binomial coefficients. (a) You roll a fair 8-sided die, with faces numbered from 1 to 8, 40 times. Find the probability of getting a multiple of 3 exactly 5 times. Find in how many ways you can distribute 6 red pens, 3 blue pens, and 10 black pens to 19 people, so that each one gets one pen.

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

In a suitcase there are 5 orange, y green, (y+2) grey and 6 yellow pens. Probability of choosing one green pen from the given suitcase is 1/3. What is the sum of the number of green, grey and yellow pens?

Find the ODDS of rolling a fair die and getting a 5.