Name______Date______Block______
Probability TestReview
1. A state offers license plates that contain 4 numbers following 4 letters. All license plates are equally likely.
a) What is the total possible number of license plates issued in this state?
b) What is the probability of being assigned the license plate BACK6789?
c) What is the probability of getting a license plate without a T?
d) What is the probability of getting a license plate with an even number?
2. The probability that a dice will land on a 1 is is . What is the
probability that the dice will not land on a 1?
You spin a spinner that has 12 equal-sized sections numbered 1 to 12. Find each probability. Simplify, if necessary.
3. P(5)4. P(odd)
5. P(multiple of 3)6. P(composite number)
7. You draw names from a bin containing the names from my 2nd block (36 students) and my 4th block (32 students). What is the probability (as a percent) that you will draw the name of a 4th block student?
8. There are 99 students that I teach. You survey 20students randomly and 16 say they like chocolate milk shakes. How many students are likely to like chocolate shakes?
You choose a marble at random from a bag containing 6 red marbles, 5 blue marbles, and 1green. You replace the marble and then choose again. Find each probability.
9. P(blue then red)10. P(both green)
You roll a fair number cube. Find the probability of rolling each of the following.
11. P(3 or 4)12. P(composite number)
13. P(multiples of 2 or odd)14. P(8)
You choose a marble at random from a bag containing 6 red marbles, 5 blue marbles, and 1 green. You DO NOT replace the marble before choosing again. Find each probability.
15. P(red then blue then green)16. P(both blue)
17. State if each event is dependent or independent:
- A teacher asks each student in the class to pick marbles out of a bag. Emma takes out a blue marble. Then Kevin takes out a red marble.
- A teacher puts each student’s name in a hat and mixes them. She reaches in a draws “Samuel”. She replaces the name, mixes them again, and then reaches in and draws “Angela”.
- Mr. Wilson is picking out socks for the week. Monday he picked his bear socks and then Tuesday he picked blue argyle socks
18. Henry is making a burger. He can choose from pretzel bun or a whole wheat bun. He can choose from a ground beef, ground turkey or chicken for the meats and swiss or provolone cheese. Make a tree diagram that will represent all possible burgers that Henry can make. How many different burgersdoes he have to choose from?
20. The container below contains 4 red, 2 purple, and 6 blue marbles. Without looking, if Reid chooses a marble from the container, will the probability be closer to 0 or to 1 that Eric will select a red marble? A purple marble? A blue marble? Circle your choice for each then justify each of your predictions.
Red marble: Closer to 0 Closer to 1Equidistant from 0 and 1
Purple marble: Closer to 0 Closer to 1 Equidistant from 0 and 1
Blue marble: Closer to 0 Closer to 1 Equidistant from 0 and 1
Which color marble is most likely to be chosen? Explain how you know.
21. Ansley rolled a fair number cube four times and rolled a 3 every time.
a) What is the theoretical probability of rolling four 3’s in a row?
b) What is the experimental probability of rolling four 3’s in a row?
c) What would you expect to happen to the experimental probability of rolling a 3 if Ansley rolled the number cube 96 more times for a total of 100 rolls? How many times would you expect to roll a 3? Explain using appropriate math vocabulary. (Hint: remember the law of large numbers?)
22. How many ways could the three students Brendan, Richa, and Trey come in 1st, 2nd, and 3rd place? Make an organized list to determine your answer.
Items 23-25 are related.
23. Show all the possible arrangements of the letters in the word “JUMP” using a tree diagram.
24. If each of the letters is on a tile and drawn at random, what is the probability of drawing the letters J-U-M-P in that order?
25. What is the probability that a “word” created from the four letters will have a J as the first letter?
BONUS. If Roshni chooses a point in the square below, what is the probability that the point is not in the circle? Show your work. Probability: ______