For the first quiz, practice:
1. What computation would you do to figure out for a group of 6 people what the probability is that two people have the same birthday? (just write out the mulitplication, don't crunch the numbers) (assume 366 equally likely days per year)
2. If I roll an 12-sided die 4 times, what is the probability that I get a different number every time?
3. If I roll a 6-sided die 5 times, what is the probability that I get a 3 at least once
4. If I roll a 10- sided die 3 times, what is the probability that I don't get a 2 on any of the rolls?
5. If I roll a 8 sided die 5 times, what is the probability that I get the same number (at least) twice?
For the second quiz practice:
6. I have two 10-sided dice, numbered 1-10. If I toss both of them, what is the probability that I will get
7. I have a 10-sided die and a 6-sided die. If I toss them both, what is the probability that I will get:
8. I have two funny spotted 6-sided dice. Die A has the numbers: 1, 1, 3, 3, 5, 6 and die B has the numbers 2, 2, 2, 4, 4, 4.
9. Josh, Sarah, Kelly and Brian had these dice (make your own and try it yourself):
Josh: 2, 2, 2, 2, 6, 6
Sarah:3, 3, 3, 3, 3, 3
Kelly: 4, 4, 4, 4, 0, 0
Brian: 1, 1, 1, 5, 5, 5
A. If Josh and Sarah both roll their dice, who will have the higher number more often? What is the probability Josh will have the higher number?
B. If Sarah and Kelly both roll their dice, who will have the higher number more often? What is the probability that Sarah will have the higher number?
C. If Kelly and Brian both roll their dice, who will have the higher number more often? What ist he probability that Brian will have the higher number?
D. If Brian and Josh both roll their dice, who will have the higher number more often? What is the probability Brian will have the higher number?
Put the dice in order so that person 1 beats person2, person 2 beats person 3, person3 beats person 4 but person 4 beats person 1 (see page 539#6)