Day 5 Homework – Probability Day 1
1. What is a sample space?
2. A single fair die is rolled, what is the probability of getting a one or a six?
3. A single fair die is rolled. What is the probability of getting a number greater than three?
4. A single card is draw from a standard 52-card deck. What is the probability of getting a red card?
5. A single card is drawn from a standard 52-card deck. What is the probability of getting a club.
6. A fair coin is tossed twice. What is the probability of getting two heads.
7. A fair coin is tossed twice. What is the probability of getting at least one head?
8. Two fair dice are rolled. What is the probability of getting doubles?
9. Two fair dice are rolled. What is the probability of getting double sixes?
10. A single card is drawn from a standard 52-card deck. What is the probability of getting a king or a queen?
11. A fair coin is tossed three times. What is the probability of getting exactly two tails?
12. A fair coin is tossed three times. What is the probability of getting 3 tails?
13. How would you interpret: P(E) = 1
14. How would you interpret: P(E) = 0
(15-17) An experiment consists of rolling two fair dice. Let a and b denote the numbers of dots on the two sides facing
up. Find the probability of each event:
15. The sum of a and b is greater than 9
16. The sum of a and b is less than 6.
17. The product of a and b is greater than 15.
Kate loves Jelly Beans, except for black licorice! The table below illustrates the overall flavor proportions in a
particular Jelly Bean company’s mix.
Flavor
Proportion
Green
Apple
0.25
Strawberry
Red
0.3
18. If Kate picks one Jelly Bean at random, what is:
a. P(Green Apple or Grape)?
b. P(Neither Red nor Purple)?
c. P(Not black licorice)?
19. If Kate picks two Jelly Beans at random, what is:
a. P(Green Apple and Strawberry Red)?
b. P (Green Apple then Strawberry Red)
Blue
Raspberry
0.2
Purple
Grape
0.1
Black
Licorice
0.15