Most Likely Quiz
Questions: 16 · 10 minutes
1. A fair six-sided die is rolled once. Which result is most likely?
Rolling an even number
Rolling a number greater than 4
Rolling a number less than 3
Rolling exactly 6
2. A researcher wants to estimate which park the residents of a large city prefer. Which sample is most likely to produce a reliable estimate?
1,000 followers of one local park's social-media account
1,000 current residents selected randomly across the city
50 current residents selected randomly across the city
300 volunteers attending a meeting about one park
3. An ace is drawn from a standard 52-card deck and not replaced. What is the chance that the next card is also an ace?
4/52
4/51
3/52
3/51
4. A fair coin has landed heads five times in a row. Assuming each toss is independent, what is the chance of heads on the next toss?
Less than 1/2 because tails is due
More than 1/2 because heads is on a streak
Exactly 1/2
It cannot be estimated after a streak
5. A bag contains 6 red, 3 blue, and 1 green token. One token is drawn without looking. Which result is most likely?
Drawing a red token
Drawing a blue token
Drawing a token that is not red
Drawing the green token
6. A forecast gives four possible events the following chances. Which event is most likely?
Event B, with a 55% chance
Event A, with a 70% chance
Event C, with a 30% chance
Event D, with a 15% chance
7. At a school, 70% of students travel by bus, 20% walk, and 10% cycle. If one student is selected randomly, which travel method are they most likely to use?
Walking
Cycling
Traveling by bus
Walking and cycling are jointly more likely than traveling by bus
8. A bag contains 3 black counters and 1 white counter. A black counter is drawn and then replaced before another draw. What is the chance that the second counter is black?
3/4
1/4
1/2
1
9. For any two events, A and B, which probability rule is always true?
A and B occurring together is at least as likely as A occurring
A or B occurring is always less likely than A occurring
A and B occurring together cannot be more likely than A occurring
If A is likely, B must be unlikely
10. Four processes have recorded successes over repeated attempts. Which has the highest recorded success proportion?
Process A: 18 successes in 30 attempts
Process D: 9 successes in 10 attempts
Process C: 70 successes in 100 attempts
Process B: 35 successes in 50 attempts
11. A machine produces a defective part with probability 0.20. Over 100 parts, approximately how many defective parts would be expected in the long run?
80
5
20
2
12. A spinner lands on A 25% of the time, B 35%, C 30%, and D 10%. Where is it most likely to land?
A
B
C
D
13. A competition entrant has an 82% chance of not being selected. What is the entrant's chance of being selected?
8%
82%
22%
18%
14. A fair die is rolled twice. Which event is most likely?
The first roll is a 6
Exactly one roll is a 6
Both rolls are 6
At least one roll is a 6
15. Two fair coins are tossed. Which outcome type is most likely?
Two heads
Two tails
The three outcome types are equally likely
Exactly one head
16. There is a 40% chance of rain tomorrow. If it rains, there is a 75% chance of heavy traffic. What is the chance that it both rains and there is heavy traffic?
30%
35%
75%
115%