1. Which of the following, can be the probability of an event ?
(a) –0.04.
(b) 1.004.
(c) 18 / 23
(d) 8 / 7
2. A card is selected at random from a well shuffled deck of 52 cards. The probability of its being a face card is
(a) 3 / 13.
(b) 4 / 13.
(c) 6 / 13.
(d) 9/13.
3. A bag contains 3 red balls, 5 white balls and 7 black balls. What is the probability that a ball drawn from the bag at random will be neither red nor black ?
(a) 1/5.
(b) 1/3.
(c) 7/15.
(d) 8/15.
4. If an event cannot occur, then its probability is :
(a) 1.
(b) 3/4.
(c) 1/2.
(d) 0.
5. Which of the following cannot be the probability of an event ?
(a) 1/3.
(b) 0.1.
(c) 3%
(d) 17/16
6. An event is very unlikely to happen. Its probability is closest to :
(a) 0.0001
(b) 0.001
(c) 0.01
(d) 0.1
7. If the probability of an event is p, the probability of its complementary event will be :
(a) p – l
(b) p
(c) 1 – p
(d) 1 1 − p
8. The probability expressed as a percentage of a particular occurrence can never be
(a) less than 100
(b) less than 0
(c) greater than 1
(d) anything but a whole number
9. If P(A) denotes the probability of an event A, then
(a) P(A) < 0
(b) P(A) > 1
(c) 0 ≤ P(A) ≤ 1
(d) –1 ≤ P(A) ≤ 1
10. A card is selected from a deck of 52 cards. The probability of its being a red face card is:
(a) 3/26
(b) 3/13
(c) 2/13
(d) 1/2
11. The probability that a non leap year selected at random will contain 53 Sundays is:
(a) 1/7
(b) 2/7
(c) 3/7
(d) 5/7
12. When a die is thrown, the probability of getting an odd number less than 3 is:
(a) 1/6
(b) 1/3
(c) 1/2
(d) 0
13. A card is drawn from a deck of 52 cards. The event E is that the card is not an ace of hearts. The number of outcomes favourable to E is :
(a) 4
(b) 14
(c) 21
(d) 51
14. The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in
the lot is :
(a) 7
(b) 14
(c) 21
(d) 28
15. A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought ?
(a) 40
(b) 240
(c) 480
(d) 750
16. One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is
(a) 1/5
(b) 3/5
(c) 4/5
(d) 1/3
17. Someone is asked to take a number from 1 to 100. The probability that it is prime is :
(a) 1/5
(b) 6/25
(c) 1/4
(d) 13/50
18. A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is :
(a) 4/23
(b) 6/23
(c) 8/23
(d) 17/23
19. A card is drawn at random from a well shuffled pack of 52 cards. Probability that the card drawn is neither a red card nor a queen :
(a) 5/13
(b) 3/13
(c) 2/13
(d) 6/13
20. An unbiased die is tossed once. The probability of getting a multiple of 2 or 3 :
(a) 1/6
(b) 5/6
(c) 1/2
(d) 2/3
21. A child has dice, whose six faces show the letters as given below :
A ,B ,C ,D ,A ,D, A
The dice is thrown once. The probability of getting D is :
(a) 1/6
(b) 2/3
(c) 1/3
(d) None of these
22. Cards marked with numbers 1, 3, 5, ...., 101 are placed in a bag and mixed thoroughly. A card is then drawn at random from the bag. The probability that the number on the drawn card is a prime number less than 20 is :
(a) 7/51
(b) 5/51
(c) 13/51
(d) 9/51
23. Two dice are thrown simultaneously. The probability of getting doublet of even numbe
(a) 1/12
(b) 5/12
(c) 7/12
(d) 3/4
24. A number selected at random from the numbers 1 to 30, the probability that it is a prime number is :
(a) 1/2
(b) 3/5
(c) 2/5
(d) 1/3
II. FILL IN THE BLANKS
1. Tossing a coin is an ______________.
2. The theoretical probability is also known as ____________ probability.
3. The ___________ of the probabilities of all the elementary events of an experiment is 1.
4. P(E) = 1 – ______________.
5. The probability of an _____________ event is 0.
6. A deck of playing cards has _____________ suits.
7. Kings, queens and jacks are called ____________ cards.
8. There are ____________ aces in a pack of playing cards.
9. Sample space when two coins are tossed simultaneously are ____________.
10. Probability of getting a number less than 50 on a die is ___________.
III. VERY SHORT ANSWER QUESTIONS.
1. A die is thrown. Find the probability of getting 1.
2. Probability of which event is 100%?
3. If a number is chosen at random from the numbers 1 to 20, find the probability of getting
a prime number.
4. If a letter of English alphabet is chosen at random, then find the probability that the letter
is a vowel.
5. Find the probability of getting a number between 3 and 100 which is divisible by 7.
6. In tossing two coins, find the probability of getting 2 heads.
7. Find the probability of selecting an even prime number from 1 to 50.
8. A dice is thrown once. What is the probability of getting a number greater than 4.
9. Find the probability of getting a factor of 6 in throwing a die.
10. Two friends are born in the year 2010. What is probability that they have the same birthday?
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