1. You roll two fair dies, a green one and a red one.
a. Are the outcomes on the dice independen?
b. Find P(1 on green die and 2 on red die)
c. Find P(2 on green die and 1 on red die)
d. Find P(1 on green die and 2 on red die) or Find P(2 on green die and 1 on red die)
2. Now lottery game there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize winners will be drawn. The first prize is one million dollors, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Use the permutations rule to determine the total number of different ways the winners can be drawn.
3. To emphasize the importance of correct shelving of books, a librarian tells a group of students the number of possible orders in which just 6 books may be placed on a shelf. What is that number?