MATH 120 WEEK 3 EXAM NEWLY UPDATED
2026 QUESTIONS AND ANSWERS WITH FULL
SOLUTIONS – SUCCESSFUL LEARNING
PROBABILITY & UNCERTAINTY EXAM 100%
1. A 6-sided die is rolled once. What is the probability of rolling a 3? Answer: 1/6
2. A 6-sided die is rolled once. What is the probability of rolling a number that is
less than or equal to 2? Answer: 1/3
3. A 6-sided die is rolled once. What is the probability of rolling a number less than
4?
Answer: ½
4. A 6-sided die is rolled twice. Does the outcome of the first roll affect the outcome
of the second roll?
Answer: No, the rolls are independent events
5. Two 6-sided dice are rolled at the same time. Are the outcomes dependent on
each other?
Answer: No, the rolls are independent events
6. Two 6-sided dice are rolled, one after the other. Are the outcomes dependent
on each other?
Answer: No, the rolls are independent events
7. Two 6-sided dice are rolled. What is the probability that they both show 6?
Answer: 1/36
8. A fair coin is flipped once, what is the probability that it lands on heads?
Answer: ½
9. A fair coin is flipped 2 times and lands on heads both times. What is the
probability of getting heads on the third flip? Answer: ½
10. A fair coin is flipped 8 times and lands on heads all 8 times. What is the
probability of getting heads on the ninth flip? Answer: ½
11. A fair coin is flipped 3 times. What is the probability of getting heads all
three times? Answer: 1/8
12. A fair coin is flipped 3 times. What is the probability of getting heads at
least once? Answer: 7/8
13. If there is a 50% chance that it will rain today and a 50% chance that it will
rain tomorrow, what is the probability that it rains at least one of the
days?
Answer: ¾
14. There are 5 Kit Kats, 5 Milky Ways and 7 Snickers in a trick-or- treater's bag. If
the trick-or-treater picks 2 Kit-Kats and 1 Snickers out of the bag, what is the
2026 QUESTIONS AND ANSWERS WITH FULL
SOLUTIONS – SUCCESSFUL LEARNING
PROBABILITY & UNCERTAINTY EXAM 100%
1. A 6-sided die is rolled once. What is the probability of rolling a 3? Answer: 1/6
2. A 6-sided die is rolled once. What is the probability of rolling a number that is
less than or equal to 2? Answer: 1/3
3. A 6-sided die is rolled once. What is the probability of rolling a number less than
4?
Answer: ½
4. A 6-sided die is rolled twice. Does the outcome of the first roll affect the outcome
of the second roll?
Answer: No, the rolls are independent events
5. Two 6-sided dice are rolled at the same time. Are the outcomes dependent on
each other?
Answer: No, the rolls are independent events
6. Two 6-sided dice are rolled, one after the other. Are the outcomes dependent
on each other?
Answer: No, the rolls are independent events
7. Two 6-sided dice are rolled. What is the probability that they both show 6?
Answer: 1/36
8. A fair coin is flipped once, what is the probability that it lands on heads?
Answer: ½
9. A fair coin is flipped 2 times and lands on heads both times. What is the
probability of getting heads on the third flip? Answer: ½
10. A fair coin is flipped 8 times and lands on heads all 8 times. What is the
probability of getting heads on the ninth flip? Answer: ½
11. A fair coin is flipped 3 times. What is the probability of getting heads all
three times? Answer: 1/8
12. A fair coin is flipped 3 times. What is the probability of getting heads at
least once? Answer: 7/8
13. If there is a 50% chance that it will rain today and a 50% chance that it will
rain tomorrow, what is the probability that it rains at least one of the
days?
Answer: ¾
14. There are 5 Kit Kats, 5 Milky Ways and 7 Snickers in a trick-or- treater's bag. If
the trick-or-treater picks 2 Kit-Kats and 1 Snickers out of the bag, what is the
