Q.1 A die is rolled. What is the probability of getting an even number?
1/2
1/3
1/6
2/3
Explanation - A die has 6 faces: 2, 4, 6 are even. Probability = 3/6 = 1/2.
Correct answer is: 1/2
Q.2 A card is drawn from a standard deck. What is the probability of drawing a King?
1/52
1/13
1/4
1/26
Explanation - There are 4 Kings in a deck of 52 cards. Probability = 4/52 = 1/13.
Correct answer is: 1/13
Q.3 A box contains 5 red and 3 blue balls. One ball is drawn at random. Probability it is red?
5/8
3/8
1/2
5/3
Explanation - Total balls = 5+3=8. Probability of red = 5/8.
Correct answer is: 5/8
Q.4 Two coins are tossed. Probability of getting exactly one head?
1/4
1/2
3/4
1/3
Explanation - Possible outcomes: HH, HT, TH, TT. Exactly one head: HT, TH. Probability = 2/4 = 1/2.
Correct answer is: 1/2
Q.5 A bag has 4 white, 5 black, and 6 red balls. One is drawn at random. Probability it is not black?
5/15
10/15
1/3
2/3
Explanation - Total balls = 4+5+6=15. Not black = 4+6=10. Probability = 10/15.
Correct answer is: 10/15
Q.6 Two dice are rolled. Probability that the sum is 7?
1/6
1/12
1/8
1/36
Explanation - Pairs giving sum 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) → 6/36 = 1/6.
Correct answer is: 1/6
Q.7 A bag contains 3 green and 2 yellow balls. Two balls are drawn without replacement. Probability both are green?
3/10
3/5
1/2
1/5
Explanation - P(first green) = 3/5, P(second green) = 2/4. Probability = 3/5 × 2/4 = 3/10.
Correct answer is: 3/10
Q.8 A letter is chosen at random from the word 'PROBABILITY'. Probability it is a vowel?
4/11
5/11
3/11
6/11
Explanation - Vowels in the word: O, A, I, I → 4 vowels out of 11 letters. Probability = 4/11.
Correct answer is: 4/11
Q.9 A bag contains 2 white and 3 black balls. One ball is drawn and then replaced. Probability of drawing black twice?
9/25
6/25
1/4
3/5
Explanation - P(black) = 3/5. Since replaced, P(black twice) = 3/5 × 3/5 = 9/25.
Correct answer is: 9/25
Q.10 A dice is rolled twice. Probability that the sum is even?
1/2
1/3
2/3
3/4
Explanation - Sum is even if both numbers are even or both odd. Probability = 1/2.
Correct answer is: 1/2
Q.11 In a class of 20 students, 12 are boys and 8 girls. One student is chosen at random. Probability of choosing a girl?
2/5
3/5
8/20
1/2
Explanation - Probability = 8/20 = 2/5.
Correct answer is: 2/5
Q.12 A jar contains 6 red, 5 blue, 4 green balls. One ball is drawn. Probability it is not red?
15/15
9/15
6/15
10/15
Explanation - Not red = 5+4 = 9, total = 15. Probability = 9/15.
Correct answer is: 9/15
Q.13 Two dice are rolled. Probability that both show odd numbers?
1/4
1/2
1/3
1/6
Explanation - Odd numbers on die: 1,3,5 → 3/6 each. Probability = 3/6 × 3/6 = 1/4.
Correct answer is: 1/4
Q.14 A box has 4 white, 3 black, and 2 red balls. Probability of drawing a red or white ball?
2/9
4/9
6/9
7/9
Explanation - Red or white = 4+2=6, total = 9. Probability = 6/9.
Correct answer is: 6/9
Q.15 If a die is rolled thrice, probability of getting a 6 at least once?
91/216
125/216
1/6
5/6
Explanation - P(not 6) = 5/6. P(not 6 thrice) = (5/6)^3 = 125/216. So P(at least one 6) = 1 - 125/216 = 91/216.
Correct answer is: 91/216
Q.16 A bag has 5 red and 5 blue balls. Two balls are drawn without replacement. Probability both are same color?
4/9
1/2
5/9
2/5
Explanation - RR = 5/10 × 4/9 = 20/90, BB = 5/10 × 4/9 = 20/90. Total = 40/90 = 4/9.
Correct answer is: 4/9
Q.17 Two cards drawn from a deck. Probability both are aces?
1/221
1/169
1/1326
1/663
Explanation - P(first ace) = 4/52, P(second ace) = 3/51 → 4/52 × 3/51 = 12/2652 = 1/221.
Correct answer is: 1/221
Q.18 A bag contains 7 white and 3 black balls. One ball is drawn at random. Probability it is black?
3/10
7/10
1/2
3/7
Explanation - Total balls = 10, black = 3. Probability = 3/10.
Correct answer is: 3/10
Q.19 A coin is tossed 3 times. Probability of getting exactly two heads?
3/8
1/2
1/4
3/4
Explanation - Possible sequences with 2 heads: HHT, HTH, THH → 3/8.
Correct answer is: 3/8
Q.20 A bag contains 2 red, 3 green, 5 blue balls. One ball is drawn. Probability it is not green?
7/10
3/10
1/2
2/5
Explanation - Not green = 2+5=7, total = 10. Probability = 7/10.
Correct answer is: 7/10
Q.21 A single card is drawn from a deck. Probability that it is either a king or a queen?
1/13
2/13
1/26
1/4
Explanation - 4 kings + 4 queens = 8 cards out of 52 → 8/52 = 2/13.
Correct answer is: 2/13
Q.22 Two dice are thrown. Probability that the numbers are equal?
1/6
1/12
1/36
1/3
Explanation - Pairs: (1,1),(2,2)...(6,6) = 6/36 = 1/6.
Correct answer is: 1/6
Q.23 From a pack of 52 cards, one card is drawn. Probability it is a heart?
1/4
1/13
1/2
3/4
Explanation - There are 13 hearts in 52 cards → 13/52 = 1/4.
Correct answer is: 1/4
Q.24 A box contains 10 balls numbered 1 to 10. Probability of drawing a ball with number divisible by 3?
1/3
3/10
1/2
2/5
Explanation - Numbers divisible by 3: 3,6,9 → 3/10 = 0.3 ≈ 1/3.
Correct answer is: 1/3