Probability Stations
Short Answer
1. Clara is going to perform an experiment in which she spins each spinner once. What is the probability that the
first spinner will land on Blue and the second spinner will land on an even number? Draw a table to help you
find all of the possible outcomes.
S pinner 1
S pinner 2
Blue
1
4
Red
2
3
2. A service organization is recruiting volunteers for a clean-up day. At the previous event, 171 of the 180 people
who signed up in advance came to the event.
Part A: Estimate the probability that a person who signs up to volunteer will come to the
clean-up day.
Part B: Based on this probability, how many volunteers do they need to recruit to have 228
people at the clean-up day? (Hint: set up a proportion)
3. The ski report predicts a
each outcome.
Snow
Outcome
Probability
60%
chance of having snow. Complete the outcome table showing the probability of
No snow
4. The probability of getting assigned a locker which is next to a classroom door is 6%. If there are 150 lockers,
how many are by doors?
5. Thomas is keeping records at the city fishing tournament. The table shows the information on the number of
each type of fish caught in the tournament so far.
Perch
Sunfish
Bass
Walleye
Fish
32
21
14
12
Number of Fish
Part A:
Part B:
Estimate the probability that the next fish caught will be a perch. Show your work.
Estimate the probability that the next fish will be either a bass or a walleye. Show
your work.
6. On the last math test in Gregory’s class, his teacher estimates 10 out of 25 students scored a 90 or higher. In the
past, 40% of students score a 90 or higher. Is his teachers estimate accurate? How many students scored 90 or
higher?
7. During her first 10 picks from a bag of marbles, Mary chose 3 yellow marbles, 5 green marbles, and 2 blue
marbles. Each time she replaces the marble before selecting another. What is the experimental probability that
Mary will choose a green marble on her next pick? Write the probability as a percent.
8. Merle has a bag of 65 marbles, he estimates that 30 are purple. If 40% of the marbles are purple, is his estimate
reasonable? How many marbles are purple?
9. On the last math test in Frank’s class, 11 out of 25 students scored an 85 or higher. What is the experimental
probability that a student selected at random will score an 85 or higher on the next test? Write the probability as
a percent.
10.
The table shows the batting records for members of a softball team.
Find the probability that Juanita gets a hit the next time she is batting. Explain your answer.
11. Ramon flipped a button 20 times and recorded which side of the button landed up. Based on Ramon’s
experiment, which side of the button is more likely to land up? Write your probability as a percent.
Front
Back
Outcome
12
8
Frequency
12. Lucia spins the spinner 24 times and records the results in the table.
Purple
Blue
Red
Green
Outcome
Frequency
Part A:
Part B:
Purple
4
Red
7
Green
6
Blue
7
Find the experimental probability that the spinner lands on green or blue. Show
your work.
Based on Lucia’s experiment, is the spinner more likely to stop on blue or on red?
Show your work.
13. Dr. Thomas recorded which of her patients received flu shots and also whether or not they got sick with the flu.
The table shows a summary of her observations.
Part A: What is the probability of not catching the flu for patients who did not get a flu shot?
Show your work.
Part B: What is the probability of getting the flu for patients who did receive a flu shot?
Show your work.
Treatment
Number of Patients
No flu shot
Flu shot
15
18
Number of Patients
Getting the Flu
12
2
14. Raul randomly selects a marble from many marbles in a container, determines if the marble is green, and returns
the marble to the container. After 40 trials, Raul selects 14 green marbles. What would you estimate is the
probability that Raul will randomly select a green marble on the next trial? Explain.
15. Two soccer teams compete in different leagues. After 25 of its games this season, team A won 17 games. After
30 of its games this season, team B won 18 games. Which team has a higher probability of winning its next
game? Explain using relative frequencies.
16. A coach kept track of one of his quarterback’s performance. Out of 40 throws, 7 were incomplete, 12 were
between 10 and 20 yards, 8 were between 20 and 30 yards, 8 were between 30 and 40 yards, and 5 were more
than 40 yards.
What is the probability that a throw will be greater than 40 yards?
17. An archer takes 50 shots at a target, and all 50 shots hit the target:
•
15 hit the outer ring.
•
29 hit the inner ring.
•
6 hit the bull's-eye.
Based on this data, how many shots of 200 would you expect this archer to hit the bull’s-eye? (Hint: Set up a
proportion.)
18. Melanie has a shoe closet with 5 pairs of high heels, 6 pairs of sneakers, 3 pairs of sandals, and 2 pairs of boots.
What is the probability of selecting a pair of boots. Write your answer as a percent. Which type of foot wear
has the highest probability of being chosen?
19. You work at a T-shirt printing business. Of 3100 T-shirts shipped, 2% are printed improperly. Your boss
estimates on the last shipment 155 were printed improperly. Is this a reasonable estimate?