Question

(4 points)
Question 2

A)
Victoria spins the spinner shown in the diagram 60 times. Her results are as follows:
Blue: 14
Green: 12
Orange: 6
Purple: 10
Red: 10
Yellow: 8
(2 point
Enter your answer as a simplified fraction.
What is the theoretical probability of landing on green?
What is the experimental probability of landing on green?
B) (1 point)
The theoretical probability of landing on green is the experimental probability of landing on green.

Question 3
A)
A letter is to be randomly picked from the word MISSISSIPPI.
Which letters have equal chances to be selected?
(2 points)
M
I
S
P

Question 4
Calculate the experimental probability of landing on a 3. Remember to enter the answer as a simplified fraction.
P(3) =
A)
A six-sided number cube is rolled 30 times and lands on 3 ten times and 5 eight times.
(1 point)

Question 5

Part 1: How many consonants and vowels are listed on the spinner?
consonants
vowels
Part 2: What is the theoretical probability the spinner will land on a consonant?
Enter the probability as a simplified fraction.
Part 3: If the the spinner is used 160 times, how many times should the spinner land on a consonant?
The spinner is expected to land on a consonant times.
A)
A spinner has 8 equally sized sections labeled as A, B, C, D, E, F, G, H.
(4 points)

Question 6

Theoretical P(blue) = Remember to round your answer to the nearest hundredth.
Experimental P(blue) = Remember to round your answer to the nearest hundredth.
A)
Nadia has 5 red cubes, 3 blue cubes, 8 yellow cubes, and 4 black cubes.
She records the color cube she pulls from the bag and puts the cube back in the bag 14 times.
The table below shows the frequency she pulled each color.
What are the experimental and theoretical probability of pulling a blue cube out of the bag? Enter your answer as a decimal rounded to
the nearest hundredth (2 places after the decimal).
When entering responses, remember to include the ZERO before the decimal if necessary. For example, if the answer is 0.47, you must
enter the zero for the answer to be counted correctly.
(2 points)

Question 7

A) Which spinner could be used to test a uniform probability model? (1 point)


Question 8
How many students are entered for the raffle? students
How many students are in 7th Grade and in Homeroom C? students
What is the probability the winner is a 7th grader in Homeroom C? (Enter your response a simplified fraction.)
What is the probability the winner is NOT in Homeroom B? (Enter your response a simplified fraction.)
A)
Students in the 7th and 8th grade at Imawinner Middle School are going on a field trip to the aquarium. If
a student actively participates in the engagement activities at the aquarium, they are entered into a raffle
to win a free lunch from their favorite restaurant. The table below shows the number of students in each
grade and homeroom who engaged in the activities.
(4 points)

Question 9
A)
A survey taken by 150 people revealed that 65 like apple juice while 85 dislike it. One person is randomly
chosen from this group. What is the chance that a chosen person dislikes apple juice? Write your answer
as a ratio in simplest form.
(1 point)
17
30
65
150
13
30
13
17

Answer 1

I can answer the ones that have enough information. For the questions that refer to diagrams/tables that aren’t included, I’ll tell you what I need.

Question 2
A)
- Theoretical P(green) = 1/6.
(There are 6 equally likely colors.)
- Experimental P(green) = 12/60 = 1/5.
B)
- The statement is false (1/6 ≠ 1/5).

Question 3
From MISSISSIPPI (M=1, I=4, S=4, P=2):
- The letters with equal chances: I and S.

Question 4
A six-sided cube rolled 30 times; 3 occurred 10 times:
- Experimental P(3) = 10/30 = 1/3.

Question 5 (spinner with A–H)
Part 1:
- Consonants = 6, Vowels = 2 (A and E).
Part 2:
- Theoretical P(consonant) = 6/8 = 3/4.
Part 3:
- Expected times out of 160 = 160 * 3/4 = 120.

Question 6
I can compute these if you give the frequency table of the 14 trials (how many times blue was pulled). The theoretical P(blue) from the bag contents is 3/20 = 0.15 (rounded to nearest hundredth: 0.15). For the experimental probability I need the observed number of blue pulls out of 14.

Question 7
I need the spinner options/images to say which one could test a uniform (equal‑chance) model.

Question 8
I need the raffle table (numbers by grade and homeroom) to answer total students, number in 7th & Homeroom C, and the requested probabilities.

Question 9
150 people: 65 like, 85 dislike.
- Probability a randomly chosen person dislikes apple juice = 85/150 = 17/30.

If you upload the missing diagrams/tables (Q6, Q7, Q8) or type the numbers, I’ll finish those answers.