a) a head. 1/2
b) a tail. 1/2
c) Both head and tail turn up. 0
d) neither head nor tail turns up. 0
2) A coin is tossed twice, find the probability of getting
a) no head. 1/4
b) both tails . 1/4
3) When two coins toss simultaneously, what possible outcomes. Find the probability of getting
a) both heads. 1/4
b) at least one head. 3/4
c) atleast one tail. 3/4
d) head turns up exactly once. 1/2
e) Tails turns up atleast once. 3/4
f) Tail does not turn up at all. 1/4
g) two heads. 1/4
h) one head. 1/2
i) One tail. 1/2
j) at most one head. 3/4
k) No head. 1/4
4) If 3 identical coins are tossed. What is the probability of getting:
a) all three heads. 1/8
b) one head and two tails. 3/8
c) all three tails. 1/8
d) atleast two head. 1/2
e) all heads. 1/8
f) two heads . 3/8
g) one head. 3/8
h) exactly 2 heads. 3/8
i) atleast 1 head & 1 tail. 6/8
j) atleast 1 head. 7/8
5) A coin is tossed thrice. Find the probability that:
a) Tail turns up atleast twice. 1/2
b) Head does not turn up at all. 1/8
c) Tail comes on the second toss. 1/2
d) Head turns up atleast once. 7/8
e) getting two or more heads. 1/2
f) the second is not a head. 1/2
) A unbiased dice is thrown. What is the probability of getting
a) prime number. 1/2
b) number greater than 5. 1/6
c) even number. 1/2
d) odd number. 1/2
e) even number greater than 6. 0
f) 3. 1/6
g) multiple of 3? 1/3
h) an even number or a multiple of 3. 2/3
i) an even number and a multiple of 3. 1/6
j) a number 3 or 4. 1/3
k) A number less than 5. 2/3
l) A number greater than 3. 1/2
m) A number between 3 and 6. 1/3
n) two or four. 1/3
C) a multiple of 2 or 3. 2/3
M) a prime number. 1/2
N) 2 or 4. 1/3
P) multiple of 2 and 3.
Q) multiple of 2 but not 3.
R) multiple of 3 but not 2.
S) multiple of either 2 or 3.
T) multiple of neither 2 nor 3.
U) greater than 4. 1/3
V) atmost 4. 2/3
W) between 7 and 10. 0
7) A perfect cubic die is thrown. Find the probability that:
A) A prime number comes up. 1/2
B) A perfect square comes up. 1/3
) A dice is thrown twice. What is its total outcome? 36
) Two dice thrown at a time. Find the probability of getting:
a) doublets. 1/6
b) even number. 1/2
c) an odd number. 1/2
d) equal to 10. 1/12
e) a double digit number. 1/6
f) a single digit number. 5/6
g) Two heads. 1/4
h) one head. 1/2
i) one tail. 1/2
j) at least one head. 3/4
k) at most one head. 3/4
l) No head. 1/4
m) 8 as the sum. 5/36
n) a doublet of prime numbers. 1/12
o) a doublet of odd numbers. 1/12
p) a sum greater than 9. 1/6
q) an even number on first. 1/2
r) an even number on one and a multiple of 3 on the other. 11/36
s) neither 9 nor 11 as the sum of the numbers on the faces. 5/6
t) a sum less than 6. 5/18
u) a sum less than 7. 5/12
v) a sum more than 7. 5/12
A) an even number as the sum. 1/2
B) the sum as a prime number. 5/12
C) a total of atleast 10. 1/6
D) a doublet of even number. 1/12
E) A multiple of two on one dice & a multiple of 3 on the other. 11/36
F) same number on the both dice i.e. a doublet. 1/6
G) a multiple of 3 as the sum. 1/3
M) an even number on first. 1/2
N) an even number on one and a multiple of 3 on the other. 11/36
O) neither 9 nor 11 as the sum of the numbers on the faces. 5/6
S) The sum of the score is 9. 1/9
T) The product of the score is 12. 1/9
U) The score on the second die is greater than the score on the first die. 5/12
V) The sum of the scores is a multiple of 4. 1/4
W) The sum of the scores is a perfect square. 7/36
X) same score on the first die as on the second. 1/6
Y) the sum of the scores is greater than 9 or even number.
Z) Sum of the scores on their uppermost face is a perfect square or a multiple of 3. 5/12
) Two unbiased dice are thrown. Find the probably that the total of the numbers on the dice is greater than 10. 1/12
) From a well-shuffled pack of 52 cards, one card is drawn at random. what is the probability that the card is
a) a diamond. 1/4
b) an ace. 1/13
c) 5 of club. 1/52
d) queen of red colours. 1/26
e) a black card. 1/2
f) a club. 1/4
g) 10 of hearts. 1/52
h) a face card. 3/13
i) 2 of red. 1/26
j) 2 of spade. 1/12
k) a red card. 1/2
l) a black Queen. 1/26
m) A red king. 1/26
n) a black face card. 3/26
o) red cards. 1/2
C) A queen. 1/13
D) Not a queen. 12/13
E) either red or king. 7/13
F) red and a king. 1/26
H) a red face card. 3/26
I) 2 of spades. 1/52
J) Bears a number less than 4. 3/13
K) 10 of a black suit. 1/26
L) a black king. 1/26
M) Either a black card or a king. 7/13
N) black and a king. 1/26
O) King or black card. 7/13
P) a jack, queen or a king. 3/13
Q) neither a heart nor a king. 9/13
R) spade or an ace. 9/13
S) neither an ace nor a king. 11/13
T) A diamond. 1/4
U) An ace or a queen. 2/13
V) A card bearing a number between and including 2 & 6. 5/13
) Numbers 1 to 10 are written on 10 separate slips and kept in a box and mixed up well. One slip is chosen from the box without looking on it. Find the probability of
a) getting a number 5. 1/10
b) getting a number less than 8. 7/10
c) getting a number greater than 7. 3/10
d) getting a two digit number. 1/10
8) 17 cards number 1,2,3,....17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability the number on the card is :
A) odd. 9/17
B) a prime. 7/17
C) divisible by 3. 5/17
) Prime numbers between 1 and 25 are written on identical slips and put in a box and mixed up . If a slip is drawn at random. What is the probability of getting
a) one digit number. 4/9
b) an even number. 1/9
c) an odd number. 8/9
d) number greater than 11. 4/9
) What is the probability that a number selected from the numbers 1,2,3,..... 25 is a prime number, when each of the given numbers is equally likely to be selected. 9/25
9) Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is:
A) an even number. 1/2
B) a number less than 14. 3/25
C) a number which is a perfect square. 9/100
D) A prime number less than 20. 2/25
15) In a lottery 50 tickets numbered 1 to 50, one ticket is drawn. Find the probability that the drawn ticket bears a prime number. 3/10
16) What is the probability that a number selected from the numbers 1, 2, 3,.....15 is a multiple of 4 ? 1/5
17) In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize. 2/5
18) if the probability of winning a game is 0.3, what is the probability of loosing it.
) There are 35 students in a class, with 20 boys and 15 girls. From these students one is chosen at random. What is the probability that the chosen student is
a) a boy. 4/7
b) a girl. 3/7
) A letter is chosen from the word EQUATION . Find the probability that letter is a consonant. 3/8
) Find the probability of getting vowel in the word EQUATION . 5/8
) Find the probability of getting vowel in the word MATHEMATICS . 4/11
) A bag contains 8 white balls, 5 green balls and 7 red balls . They are mixed throughly and one ball is drawn at random. Find the probability of getting
a) a red ball. 7/20
b) a green ball. 1/4
c) a yellow ball. 0
d) a white ball. 2/5
) A spinner whose vectors are painted in the seven spectrum colours (VIBGYOR) is spun 35 times. How many times do you expect the painter to be at the red colour ? T times
) The keyboard of mobile has (0 to 9) digits on it. Find the probability of getting
a) even number. 1/2
b) multiple of 5. 1/10
c) factor of 9. 3/10
d) a natural number. 9/10
e) perfect number. 1/10
f) prime number. 2/5
g) composite number. 2/5
h) whole number. 1
) A bag contains 3 white balls, 5 red balls, 7 green balls and 9 yellow balls. Find the probability of getting
a) red . 5/24
b) yellow balls. 9/24
c) blue balls. 0
6) A bag contains 3 red and 2 blue marbles. A marble is drawn at random of drawing a blue marble. 2/5
) A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is:
A) black. 7/24
B) red. 5/24
C) not Green. 5/6
7) It is know that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at a random from this box. What is the probability that it is a non defective bulb ? 0.98
10) A child has a block in the shape of a cube with one letter written on each face as shown
A B C D E A
The cube is thrown once. What is the probability getting
A) A. 1/3
B) D. 1/6
Fill in the blanks:
1) The probability of a sure event is ______.
2) If an event cannot occur than its probability is _____.
3) The probability of selecting P from the word SPECIAL is ____.
4) The probability of an event cannot be more than ______.
5) if a dice is thrown once, the probability getting an even prime number is____.
6) probability of an impossible event is ____
7) The probability of an event (other than sure and impossible event) lies between ___
8) Every elementary event associated to a random experiment has____ probability.
Choose the Correct Option:
) Three coins are tossed simultaneously. What are the possible outcomes?
a) 7 b) 8 c) 9 d) 10
) From 1 to 50, what is the probability getting a multiple of 6 ?
a) 4/25 b) 6/30 c) 2/25 d) 3/30
) Two dice are thrown simultaneously. Find the probability getting an even number as su.
a) 2 b) 5 c) 1/2 d) 2/3
) What is the probability getting vowel from the English alphabet ?
a) 26/5 b) 5/26 c) 1/26 d) 26/1
) A number from 1 to 100 is chosen at random. What is the probability getting an even number ?
a) 1/2 b) 2/3 c) 2/1 d) 3/2
) Two coins are tossed simultaneously. Find the probability of getting two heads.
a) 1/2 b) 4 c) 1/4 d) 2
10) the king, queen and jack of clubs are removed from a deck of 52 playing cards and the well shuffled. One card is selected from the remaining cards. find the probability of getting:
A) a heart. 13/49
B) a king. 3/49
C) a club. 10/49
D) the 10 of heart. 1/49
E) a black card. 1/2
F) 8 of red colour. 1/20
G) A king of black colour. 0
11) A bag contains 3 red, 4 white, 5 blue marbles. All the marbles are identical in shape and size. One marble is drawn at random from the bag. Find the probability that the marble drawn is:
A) red. 1/4
B) Red or white. 7/12
12) A bag contains 3 red and 2 blue marbles. A marble is drawn at random. what is the probability of drawing a blue marble. 2/5
13) A bag contains 5 red balls 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is.
A) black. 7/24
B) red. 5/24
C) not green. 5/6
14) An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability that the ball drawn is white. 4/9
15) A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:
A) white ? 1/3
B) red ? 1/4
C) black ? 5/12
D) not red ? 3/4
16) A bag contains 6 red, 8 black and 4 white balls. A ball is drawn at random. What is the probability that the ball drawn is not black ? 5/9
17) A bag contains 5 white 7 red balls. One ball is drawn at random. What is the probability that the ball drawn is white ? 5/12
18) A box contains 5 red, 11 white and 7 black balls. One ball is drawn at random. Find the probability that the ball drawn is a white ball. 11/23
19) A bag contains 6 red, 5 blue, 3 white and 4 black balls. A ball is drawn at random. Find the probability that the ball is red or black. 5/9
20) In a bag there are 6 black, 4 white and 3 yellow balls. A ball is drawn at random. Find the probability of getting a yellow or a white ball. 7/13
21) A box contains 7 red, 5 white and 8 green balls identical in all respects except colour. One ball is drawn at random. Find the probability that it is not white. 3/4
22) find the probability that a leap year selected at random will contain 53 Sundays. 2/7
23) A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is
A) red ? 7/15
B) Black Or White . 8/15
C) not black. 2/5
24) A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. find the probability that the ball drawn is
A) white. 2/5
B) red. 4/15
C) not black. 2/3
D) red or white. 2/3
25) What is the probability that an ordinary year has 53 Mondays? 1/7
26) What is the probability that a leap year has 53 Mondays and 3 sundays? 1/7
27) The probability that two boys do not have the same birthday is 0.394. what is the probability that the two boys have the same birthday? 0.606
28) If P(E)= 0.95, find P(not E). 0.05
29) what is the probability that the number selected from the number 1,2, 3,......25 is a prime number, when each of the given number is equally likely to be selected ? 9/25
30) tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. what is the probability that the ticket has a number which is a multiple of 3 or 7 ? 2/5
31) A bag contains a certain number of blue balls. A ball is drawn. Find the probability that the ball drawn is
A) black. 0
B) blue. 1
32) A bag contains 12 ball out of which x are white.
A) If one ball is drawn at random, what is the probability that it will be white ball ? x/12
B) if 6 more white balls and put in the bag, the probability of drawing a white ball will be double then that in (A). find x. 3
33) A bag contains 6 red, 8 white and x blue balls which are not identical in shape and size. The probability that a ball drawn at random is blue or white is 5/7. Find x. 7
34) it is known that box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out the random from this box. what is the probability that it is a non defective bulb? 0.98
35) A box contains 1000 bulbs out of which 25 are defective. It is not possible to just look at the bulb and tell whether or not it is defective. One bulb is taken out at random from the box. Find the probability that the bulb taken out is
A) A good one. 39/40
B) A defective one. 1/40
36) 17 cards numbered 1, 2,3, ...17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is.
A) odd. 9/17
B) a prime number. 7/17
C) divisible by 3. 5/17
D) divisible by 3 and 2 both. 2/17
37) cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that number on the card is.
A) an even number. 1/2
B) a number less than 14. 3/25
C) a number which is a perfect square. 9/100
D) A prime number less than 20. 2/25
38) 1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ram has purchased one Lottery ticket, what is the probability of winning a prize? 0.005
39) A and B throw a pair of dice. If A throws 9, find B's chance of throwing a higher number. 1/6
40) In a lottery of 50 tickets numbered 1 to 50, one ticket is drawn. Find the probability that the drawn ticket bears a prime number. 3/10
41) What is the probability that a number selected from the numbers 1, 2, 3,...,15 is a multiple of 4 ? 1/5
42) Tickets numbered 1 to 20 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 7 ? 2/5
43) In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize. 2/5
44) A bag contains 50 identical cards which are numbered from 1 to 50. If one card is drawn at random from the bag. Find the probability that it bears:
A) A perfect square number. 7/50
B) A number divisible by 4. 6/25
C) A number divisible by 5. 1/5
D) A number divisible by 4 or 5. 2/5
E) A number divisible by 4 and 5. 1/25
F) A number not divisible by 4.
G) A number not divisible by 5.
H) Either divisible by 4 or divisible by 5.
I) neither divisible by 4 nor divisible by 5.
J) Divisible by 4 but not divisible by 5.
K) Divisible by 5 but not divisible by 4.
L) Divisible by 20.
M) not divisible by 20.
45) If the probability of winning a game is 0.3. What is the probability of losing it. 0.7
EXERCISE--2
-----------------------
1) Probability of a sure event is__.
2) Probability of an impossible event is____.
3) The probability of an event (other than sure and impossible event) lies between____.
4) Every elementary event associated to a random experiment has ___ probability.
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