ObjectiveMCQ
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16 practice sets · Page 1 of 1
Question 1
Open practiceTwo dice are rolled. What is the probability that their sum is an even number?
A: 1/2
B: 1/4
C: 3/4
D: 2/3
Correct Answer: A — A: 1/2
Sum is even if both dice show even or both show odd. P(even)=(1/21/2)+(1/21/2)=1/4+1/4=1/2.
Question 2
Open practiceA die is rolled once. What is the probability of getting a composite number?
A: 1/2
B: 1/3
C: 1/6
D: 2/3
Correct Answer: B — B: 1/3
Composite numbers on a die = {4,6}. Probability = 2/6 = 1/3.
Question 3
Open practiceTwo dice are thrown. What is the probability that the product of the numbers is even?
A: 1/2
B: 1/4
C: 3/4
D: 2/3
Correct Answer: C — C: 3/4
The product is even if at least one die shows an even number. Probability(even) = 1 - P(both odd). P(both odd)= (3/6)*(3/6)=1/4. So required = 1-1/4=3/4.
Question 4
Open practiceA die is rolled once. What is the probability of getting an odd number?
A: 1/2
B: 1/3
C: 2/3
D: 1/6
Correct Answer: A — A: 1/2
Odd numbers = {1,3,5}. Probability = 3/6 = 1/2.
Question 5
Open practiceTwo dice are rolled. What is the probability that both show even numbers?
A: 1/4
B: 1/3
C: 1/6
D: 1/2
Correct Answer: A — A: 1/4
Even numbers = {2,4,6}. Probability for one die = 3/6 = 1/2. For two dice = (1/2)*(1/2)=1/4.
Question 6
Open practiceTwo dice are thrown. What is the probability of getting a sum less than 5?
A: 1/6
B: 1/12
C: 1/9
D: 1/18
Correct Answer: A — A: 1/6
Sums less than 5 are {2,3,4}. Favorable pairs = 1+2+3=6. Probability = 6/36 = 1/6.
Question 7
Open practiceA die is rolled. What is the probability of not getting a 5?
A: 1/6
B: 5/6
C: 1/3
D: 2/3
Correct Answer: B — B: 5/6
Total outcomes = 6. Not 5 means 5 outcomes. Probability = 5/6.
Question 8
Open practiceTwo dice are thrown together. What is the probability that the sum is 11?
A: 1/6
B: 1/12
C: 1/18
D: 1/36
Correct Answer: C — C: 1/18
Pairs for sum 11 are {(5,6),(6,5)}. Favorable = 2, total = 36. Probability = 2/36 = 1/18.
Question 9
Open practiceA die is rolled once. What is the probability of getting a number greater than 2?
A: 1/2
B: 2/3
C: 1/3
D: 5/6
Correct Answer: B — B: 2/3
Numbers greater than 2 are {3,4,5,6}. Probability = 4/6 = 2/3.
Question 10
Open practiceA die is rolled once. What is the probability of getting a multiple of 3?
A: 1/2
B: 1/3
C: 2/3
D: 1/6
Correct Answer: B — B: 1/3
Multiples of 3 on a die are {3, 6}. Probability = 2/6 = 1/3.
Question 11
Open practiceTwo dice are rolled. What is the probability of getting doublets (same number on both dice)?
A: 1/6
B: 1/12
C: 1/18
D: 1/36
Correct Answer: A — A: 1/6
Doublets are {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}. Favorable = 6, total = 36. Probability = 6/36 = 1/6.
Question 12
Open practiceTwo dice are thrown together. What is the probability of getting a sum of 7?
A: 1/6
B: 1/12
C: 1/18
D: 1/9
Correct Answer: A — A: 1/6
Pairs for sum 7 are {(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)}. Favorable = 6, total = 36. Probability = 6/36 = 1/6.
Question 13
Open practiceIf a die is rolled once, what is the probability of getting a number less than 3?
A: 1/3
B: 1/6
C: 2/3
D: 1/2
Correct Answer: A — A: 1/3
Numbers less than 3 are {1, 2}. Probability = 2/6 = 1/3.
Question 14
Open practiceWhat is the probability of getting a prime number on rolling a die?
A: 1/2
B: 1/3
C: 2/3
D: 1/6
Correct Answer: A — A: 1/2
Prime numbers on a die are {2, 3, 5}. Probability = 3/6 = 1/2.
Question 15
Open practiceA die is rolled once. What is the probability of getting an even number?
A: 1/2
B: 1/3
C: 2/3
D: 1/6
Correct Answer: A — A: 1/2
Even numbers on a die are {2, 4, 6}. Probability = 3/6 = 1/2.
Question 16
Open practiceA die is rolled once. What is the probability of getting a number greater than 4?
A: 1/2
B: 1/3
C: 1/4
D: 2/3
Correct Answer: B — B: 1/3
Numbers greater than 4 on a die are {5, 6}. So favorable outcomes = 2, total outcomes = 6. Probability = 2/6 = 1/3.
