Question

A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.

Which statement about probability is true?
The probability of landing on blue is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Question 2
(Multiple Choice Worth 2 Points)
(Likelihood MC)


The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 18%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
Question 3
(Multiple Choice Worth 2 Points)
(Likelihood MC)


A group of students were asked which club they planned to join.

Club Percent of Students
Garden Club 0.1
Robotics Club 0.2
Technology Club 0.5
Zoology Club 0.2


Compare the probabilities of a randomly selected student joining a club and interpret the likelihood. Choose the statement that is true.
The student will be more likely to join the Robotics Club than the Garden Club because P(Robotics) > P(Garden).
The student will be equally likely to join the Robotics Club or Technology Club because P(Robotics) = P(Technology).
The student will be more unlikely to join the Zoology Club than the Robotics Club because P(Zoology) > P(Robotics).
The student will be more likely to join the Garden Club than the Robotics Club because P(Garden) < P(Robotics).
Question 4
(Multiple Choice Worth 2 Points)
(Likelihood MC)


The teacher gave a true and false quiz where P(true) = 0.5 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
Question 5
(Multiple Choice Worth 2 Points)
(Likelihood MC)


In an experiment with a bag of marbles, P(green) = one fourth. Interpret the likelihood of choosing a green marble.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
Question 6
(Essay Worth 4 Points)
( HC)


The weather table predicts the chance of rain for five days.

Day of the Week Chance of Rain
Monday 60%
Tuesday 40%
Wednesday 20%
Thursday 80%
Friday 85%


Part A: Compare the probability of rain between any two days. (2 points)

Part B: Based on the weather, if you are planning an outdoor cookout with family and friends, which day will be better to host the outside event? Explain your answer. (2 points)

Answer 1

Q1 — The probability of landing on blue is greater than the probability of landing on purple.
Reason: Blue = 3/8, Purple = 2/8, so 3/8 > 2/8.

Q2 — Unlikely.
Reason: 18% (0.18) is much less than 50%, so it is unlikely to pick a chocolate chip cookie at random.

Q3 — The student will be more likely to join the Robotics Club than the Garden Club because P(Robotics) > P(Garden).
Reason: P(Robotics) = 0.2, P(Garden) = 0.1, so robotics is more likely.

Q4 — Equally likely and unlikely.
Reason: P(true) = 0.5 means a 50/50 chance.

Q5 — Unlikely.
Reason: One fourth = 25%, which is less than 50%, so choosing a green marble is unlikely.

Q6
Part A: Order (least to greatest): Wednesday 20% < Tuesday 40% < Monday 60% < Thursday 80% < Friday 85%. Examples: Monday (60%) is more likely to have rain than Tuesday (40%); Friday (85%) is more likely to have rain than Thursday (80%) and much more likely than Wednesday (20%).

Part B: Wednesday is the best day to host the outdoor cookout because it has the lowest chance of rain (20%), so it has the smallest risk of the event being rained out.