Quiz Details
QZ-20251029-86776
Topics:
probability (maths)
Difficulty:
Level 3 - Medium
Questions:
10
Generated:
October 29, 2025 at 10:11 AM
Generated by:
Elli Watson
Instructions: Select an answer for each question and click "Check Answer" to see if you're correct. Then view the explanation to learn more!
1 What is the probability of rolling a sum of 7 with two six-sided dice?
Correct Answer:
D
Explanation: There are 6 combinations that result in a sum of 7 when rolling two dice (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of a total of 36 combinations (6x6), so the probability is 6/36 = 1/6.
Explanation: There are 6 combinations that result in a sum of 7 when rolling two dice (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of a total of 36 combinations (6x6), so the probability is 6/36 = 1/6.
2 If you flip a fair coin three times, what is the probability of getting exactly two heads?
Correct Answer:
D
Explanation: The number of ways to get exactly 2 heads in 3 flips is given by the combination formula C(3,2) = 3. The total outcomes are 2^3 = 8, so the probability is 3/8.
Explanation: The number of ways to get exactly 2 heads in 3 flips is given by the combination formula C(3,2) = 3. The total outcomes are 2^3 = 8, so the probability is 3/8.
3 In a standard deck of 52 playing cards, what is the probability of drawing a heart or a queen?
Correct Answer:
A
Explanation: There are 13 hearts and 4 queens in a deck, but one of the queens is also a heart. Therefore, the probability is (13 + 4 - 1)/52 = 16/52 = 17/52.
Explanation: There are 13 hearts and 4 queens in a deck, but one of the queens is also a heart. Therefore, the probability is (13 + 4 - 1)/52 = 16/52 = 17/52.
4 What is the probability of getting at least one tail when flipping a coin three times?
Correct Answer:
C
Explanation: The probability of not getting a tail (getting all heads) in three flips is (1/2)^3 = 1/8. Therefore, the probability of getting at least one tail is 1 - 1/8 = 7/8.
Explanation: The probability of not getting a tail (getting all heads) in three flips is (1/2)^3 = 1/8. Therefore, the probability of getting at least one tail is 1 - 1/8 = 7/8.
5 What is the probability of drawing a red card from a standard deck of cards?
Correct Answer:
A
Explanation: There are 26 red cards (hearts and diamonds) in a standard deck of 52 cards, so the probability is 26/52 = 1/2.
Explanation: There are 26 red cards (hearts and diamonds) in a standard deck of 52 cards, so the probability is 26/52 = 1/2.
6 If a bag contains 3 red, 2 blue, and 5 green marbles, what is the probability of randomly selecting a blue marble?
Correct Answer:
A
Explanation: There are 2 blue marbles out of a total of 10 marbles (3 red + 2 blue + 5 green), so the probability is 2/10 = 1/5.
Explanation: There are 2 blue marbles out of a total of 10 marbles (3 red + 2 blue + 5 green), so the probability is 2/10 = 1/5.
7 In a game, you roll a die. What is the probability of rolling an even number?
Correct Answer:
A
Explanation: The even numbers on a die are 2, 4, and 6, which are 3 outcomes out of 6 possible outcomes, so the probability is 3/6 = 1/2.
Explanation: The even numbers on a die are 2, 4, and 6, which are 3 outcomes out of 6 possible outcomes, so the probability is 3/6 = 1/2.
8 What is the probability of drawing an Ace from a standard deck of cards?
Correct Answer:
A
Explanation: There are 4 Aces in a deck of 52 cards, so the probability of drawing an Ace is 4/52 = 1/13.
Explanation: There are 4 Aces in a deck of 52 cards, so the probability of drawing an Ace is 4/52 = 1/13.
9 If a box contains 10 light bulbs, and 3 are defective, what is the probability of selecting a non-defective bulb?
Correct Answer:
C
Explanation: There are 7 non-defective bulbs out of 10, so the probability of selecting a non-defective bulb is 7/10.
Explanation: There are 7 non-defective bulbs out of 10, so the probability of selecting a non-defective bulb is 7/10.
10 What is the probability of rolling a die and getting a number greater than 4?
Correct Answer:
C
Explanation: The numbers greater than 4 on a die are 5 and 6, which are 2 outcomes out of 6 possible outcomes, so the probability is 2/6 = 1/3.
Explanation: The numbers greater than 4 on a die are 5 and 6, which are 2 outcomes out of 6 possible outcomes, so the probability is 2/6 = 1/3.