Q.1 What is the probability of getting a head when a fair coin is tossed once?
0
1/2
1
2/3
Explanation - A fair coin has 2 outcomes: Head or Tail. Probability of head = 1/2.
Correct answer is: 1/2
Q.2 When a die is rolled once, what is the probability of getting an even number?
1/6
1/3
1/2
2/3
Explanation - There are 3 even numbers (2,4,6) out of 6 total outcomes. So probability = 3/6 = 1/2.
Correct answer is: 1/2
Q.3 What is the probability of drawing a red card from a standard deck of 52 cards?
1/4
1/2
1/3
2/3
Explanation - There are 26 red cards (hearts and diamonds) out of 52 total. So probability = 26/52 = 1/2.
Correct answer is: 1/2
Q.4 A bag contains 5 red balls and 3 blue balls. What is the probability of picking a blue ball?
3/8
5/8
1/2
1/3
Explanation - Total balls = 8. Blue balls = 3. Probability = 3/8.
Correct answer is: 3/8
Q.5 The probability of an impossible event is:
0
1
1/2
Cannot be determined
Explanation - An impossible event never occurs, so its probability = 0.
Correct answer is: 0
Q.6 The probability of a certain event is:
0
1
1/2
Infinity
Explanation - A certain event always occurs, so probability = 1.
Correct answer is: 1
Q.7 What is the probability of getting a number greater than 4 when a die is rolled?
1/3
1/2
2/3
5/6
Explanation - Numbers greater than 4 are {5,6}. Total outcomes = 6. Probability = 2/6 = 1/3.
Correct answer is: 1/3
Q.8 If two coins are tossed, what is the probability of getting two tails?
1/4
1/2
1/3
2/3
Explanation - Sample space = {HH, HT, TH, TT}. Only TT is favorable. Probability = 1/4.
Correct answer is: 1/4
Q.9 If a card is drawn from a deck, what is the probability of drawing an ace?
1/52
1/26
1/13
4/52
Explanation - There are 4 aces in 52 cards. Probability = 4/52 = 1/13.
Correct answer is: 1/13
Q.10 A bag contains 10 balls numbered 1 to 10. What is the probability of drawing a ball with an odd number?
1/2
1/3
2/3
3/5
Explanation - Odd numbers: 1,3,5,7,9 (5 balls). Total = 10. Probability = 5/10 = 1/2.
Correct answer is: 1/2
Q.11 Which of the following cannot be the probability of an event?
0.3
0.5
1.2
1
Explanation - Probability always lies between 0 and 1 inclusive. 1.2 is invalid.
Correct answer is: 1.2
Q.12 What is the probability of rolling a prime number on a fair die?
1/2
1/3
2/3
5/6
Explanation - Prime numbers ≤ 6: {2,3,5}. Favorable outcomes = 3. Total outcomes = 6. Probability = 3/6 = 1/2.
Correct answer is: 1/2
Q.13 In a single toss of two dice, what is the probability that the sum is 7?
1/6
1/12
1/36
1/18
Explanation - Favorable outcomes: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) = 6 outcomes. Total = 36. Probability = 6/36 = 1/6.
Correct answer is: 1/6
Q.14 A box has 3 red and 7 black balls. Probability of drawing a red ball is?
3/7
7/10
3/10
1/2
Explanation - Total balls = 10. Red = 3. Probability = 3/10.
Correct answer is: 3/10
Q.15 If a die is rolled, what is the probability of not getting a 5?
5/6
1/6
1/2
2/3
Explanation - Probability of 5 = 1/6. Probability of not 5 = 1 - 1/6 = 5/6.
Correct answer is: 5/6
Q.16 Which number represents a certain event?
0
1
0.5
2
Explanation - Probability = 1 means event is certain.
Correct answer is: 1
Q.17 Which number represents an impossible event?
0
1
2
0.5
Explanation - Probability = 0 means impossible event.
Correct answer is: 0
Q.18 If a card is drawn from a deck, what is the probability it is a king?
1/52
4/52
1/13
1/26
Explanation - There are 4 kings. Probability = 4/52 = 1/13.
Correct answer is: 1/13
Q.19 A bag contains 4 white and 6 black balls. Probability of drawing a white ball?
2/5
3/5
4/6
1/2
Explanation - Total = 10. White = 4. Probability = 4/10 = 2/5.
Correct answer is: 2/5
Q.20 The probability of an event always lies between:
0 and 1
-1 and 1
0 and 100
Any real number
Explanation - Probability values are always between 0 and 1 inclusive.
Correct answer is: 0 and 1
Q.21 If you toss a fair coin twice, what is the probability of getting exactly one head?
1/2
1/3
1/4
2/3
Explanation - Sample space = {HH, HT, TH, TT}. Exactly one head = {HT, TH} = 2 outcomes. Probability = 2/4 = 1/2.
Correct answer is: 1/2
Q.22 In a class of 40 students, 25 are boys. If a student is chosen at random, probability of selecting a girl?
15/40
25/40
40/40
1/2
Explanation - Girls = 15. Total = 40. Probability = 15/40 = 3/8.
Correct answer is: 15/40
Q.23 What is the probability of drawing a black card from a deck?
1/2
1/4
1/3
2/3
Explanation - There are 26 black cards (spades and clubs) in 52 cards. Probability = 26/52 = 1/2.
Correct answer is: 1/2
Q.24 A spinner has 4 equal sections: red, blue, green, yellow. Probability of landing on green?
1/4
1/2
1/3
1
Explanation - 4 equal outcomes. Green = 1. Probability = 1/4.
Correct answer is: 1/4