1. Consider tossing five, eight-sided (numbered 1 through 8) dice. Assume the dice are fair. Note that all the values below have been rounded to five decimals

A) What is the probability that all the dice show different numbers? [Some examples: 4 1 7 2 3; 7 4 5 1 3]

B) What is the probability of getting a straight specifically with the numbers 1, 2, 3, 4, and 5? [Some examples: 1 5 4 3 2; 2 1 3 4 5]

C) What is the probability of getting a triple and a double in any order? [Some examples: 2 2 7 7 7; 1 3 1 3 3]

2. A fair 6-sided die and a fair 4-sided die are rolled simultaneously. What is the probability that the product of the results of the two rolls is at most 9?

3. At a certain company, the probability of a document being written ONLY in Word is 0.08, the probability of a document ONLY exceeding 10 pages in length is 0.416, and the probability of a document being written in Word or exceeding 10 pages in length is 0.747. Use this information to answer the following questions. a. What is the probability that a document from this company is written in Word? b. What is the probability that a document from this company is written in Word and exceeds 10 pages in length? c. What is the probability that a document from this company has at least one of these features ("written in Word," "exceeds 10 pages in length")? d. What is the probability that a document from this company is neither written in Word nor exceeds 10 pages in length?