Name:_________________
Math 7/8, Period_____
Unit - Probability Review
Show all work in the space provided.
A spinner and cube are used in a game. The spinner has an equal chance of landing on 1 of 4 colors: red,
1.
purple, blue, or green. The faces of the cube are labeled 1 through 6. What is the probability of a player
spinning the color red and then rolling a six?
2
Last basketball season Austin made 6 out of 10 shots at the free throw line. Based on this, what is the
probability that Austin will miss his first free throw shot this season?
3
A spinner has an equal chance of landing on 1 of 4 colors: red, purple, blue, or green. What is the
probability that Ann will spin and land on a black?
4
There are 4 girls and 3 boys in Mrs. Clayton's art class. Mrs. Clayton wrote the names of each student on
identical pieces of paper and placed them in a bag. If two names are drawn from the bag at random without
replacement, what is the probability of drawing a girl's name then a boy's name?
5
A spinner consists of five regions as shown below:
If every region is equal, what is the probability that when you spin the arrow, it will land on an odd number?
6
There are 625 students in West Junior High School. Jack surveyed the 30 students in his English class
regarding their favorite subject. Twenty-four of the students responded that they liked history best. If his
class is a representative sample of the entire school, how many students in the school could Jack predict
would choose history as their favorite subject?
7
Bennett is conducting a probability experiment using five Kentucky quarters, four North Carolina quarters,
and six Georgia quarters. If he places the coins in a bag and chooses two coins at random, what is the
probability that Bennett will choose a Kentucky quarter, replace it, then a Georgia Quarter?
8
Conrad has a stack of 10 cards randomly numbered from 1 to 10. If he randomly chooses two cards and
does not replace each card, what is the probability that Conrad would pick two odd numbered cards?
9
If Ms. Boyle rolls a fair number cube 3 times. What is the probability that each roll will be a 3?
10
The probability of Mr. Bohac giving a lunch duty is 1/10. If there are 200 students in lunch, predict how
many should get duty.
11
Leslie has a bag containing yellow, blue, red or purple marbles. There are a total of 24 marbles in the bag.
Leslie randomly selects a marble from the bag and then puts it back. She repeats this process 15 times. If
Leslie selected a yellow marble five times, what is the most likely number of yellow marbles in the bag?
12
Fifteen students attended a regional conference last week. Three of the students were from Alabama, four
were from Florida, three were from Georgia, three were from Mississippi, and two were from Louisiana.
What is the probability that the first student to walk into the meeting room will be a student from Georgia?
13
The letters MRS POLLOCK were placed in a hat. What is the probability that Courtney draws an S first then
an L? (The letters are drawn and NOT REPLACED back in the hat).
14
The manager of a mechanical pencil company determined that 4 out of every 1,000 pencils developed are
defective. If 2,500 pencils are developed, how many pencils will be defective? Show or explain how you got
your answer.
15
Two cards are drawn at random without replacement from a standard deck of 52 cards. Find the P(2
diamonds).
16
17
Grayson has a green number cube and a white number cube. The faces of the cubes are numbered 1
through 6. Grayson will roll each cube one time. What is the probability that the green cube will land with
an even number face up and the white cube will land with a number greater than 2 face up?
The five cards below were used by researchers in a memory experiment.
In the experiment, the cards were mixed and then placed face down. One card was selected at random and
then replaced. If the experiment were repeated and the five cards were mixed a second time, what is the
probability that the same card would be selected at random both times?
18
A fair number cube is rolled 330 times. The number 5 comes up 56 times.
a) What is the theoretical probability of rolling a five?
b) What is the experimental probability of rolling a five?
19
20
Two buckets each contain red balls and green balls. Bucket I contains 2 red balls, and 6 green balls and
Bucket II contains 5 red balls and 4 green balls. A ball is drawn from each bucket. What is the probability
that both balls are green?
Rufus has a box that contains cards of the same shape and size. There are 5 yellow cards, 4 red cards, and
1 purple card. He draws a card at random, replaces it, and draws a second card. What is the probability
that both cards will be red?