Probability-Exercise Questions
1. If a number is chosen at random from the set {1, 2, 3…, 100}, then the probability that the chosen number is a perfect cube is
a. 1/25 b. 1/2 c. 4/13 d. 1/10
2. What is the probability of getting at least one six in a single throw of three unbiased dice?
a. 1/6 b. 125/216 c. 1/36 d. 81/216 e. 91/216
3. In a simultaneous throw of two dice, what is the probability of getting a doublet?
a. 1/6 b. 1/4 c. 2/3 d. 3/7
4. A bag contains 4 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green?
random from the box. What is the probability that the ball drawn is either red or green?
a. 2/5 b. 3/5 c. 1/5 d. 7/15
5. When 4 dice are thrown, what is the probability that the same number appears on each of them?
a. 1/36 b. 1/18 c. 1/216 d. 1/5
6. The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
a. 10% b. 15% c. 12% d. 13%
7. Two dice are rolled. The probability of getting a sum of at least 9 is
a. 13/36 b. 5/18 c. 35/36 d. 11/36
8. If four cards are drawn at random from a well shuffled pack of cards, what is the probability that each card is an ace?
a. 6/52C4 b. 4/52C4 c. 1/52C4 d. 3/52C4
9. A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that the gets a profit of Rs.12?
a. 3/8 b. 5/8 c. 3/4 d. 1/8
10. A number n is chosen from {2, 4, 6 … 48}. The probability that ‘n’ satisfies the equation (2x – 6) (3x + 12) (x – 6) (x – 10) = 0 is
a. 1/24 b. 1/12 c. 1/8 d. 1/6
Directions for questions: 11 to 13: These questions are based on the following data.
A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that
11. All the four mangoes are spoiled.
a. 1/495 b. 494/495 c. 1/395 d. 394/395
12. Not all the mangoes are spoiled.
a. 1/495 b. 394/395 c. 494/495 d. 1/395
13. Exactly three are not spoiled.
a. 116/495 b. 224/495 c. 129/495 d. 187/495
14. A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13?
a.17/30 b. 2/5 c. 11/30 d. 4/15
Directions for questions: 15 to 17: These questions are based on the following data.
If the numbers 1 to 100 are written on 100 pieces of paper, (one on each) and one piece is picked at random, then
15. What is the probability that the number drawn is neither prime nor composite?
a. 1/50 b. 1/25 c. 1/100 d. 1
16. Find the probability that the number drawn is a multiple of 6 and 8.
a. 3/50 b. 2/25 c. 1/50 d. 1/25
17. Find the probability that the number drawn is a factor of 50.
a. 1/25 b. 1/50 c. 3/25 d. 3/50
18. Out of 7 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
a. 1/21 b. 10/21 c. 20/21 d. 11/21
19. The probability that a number selected at random from first 50 natural numbers is a composite number is
a. 21/25 b. 17/25 c. 4/25 d. 8/25
20. If six persons sit around a table, the probability that some specified three of them are always together is
a. 1/20 b. 3/10 c. 1/5 d. 4/5
Note: Take a comment for solution any question
Note: Take a comment for solution any question
Hik
ReplyDelete