Chapter 15 Probability- MCQ Online Test 3 Class 10 Maths
1. A letter of English alphabets is chosen at random. What will be the probability that the letter chosen is a vowel?
a. 17/26
b. 19/26
c. 5/26
d. 15/26
2. A lot consists of 40 mobile phones of which 32 are good, 3 have only minor defects and 5 have major defects. Ram will buy a phone if it is good or have minor defects. One phone is selected at random. What will be the probability that it is acceptable to Ram?
a. 17/26
b. 19/26
c. 7/8
d. 9/8
3. 1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ramesh has purchased one lottery ticket, what is the probability of winning a prize?
a. 1/20
b. 12/500
c. 17/170
d. 1/200
4. The king, queen and jack of clubs are removed from a deck of 52 cards and the remaining cards are shuffled. A card is drawn from the remaining cards. What will be the probability of getting a king?
a. 3/49
b. 13/49
c. 3/4
d. 31/49
5. Which of the following cannot be the probability of an event?
a. 17/16
b. 5%
c. 1/3
d. 0.1
6. If the probability of an event is ‘p’, what will be the probability of its complementary event?
a. p
b. p + 1
c. p – 1
d. 1 – p
7. Three coins are tossed once. What will be the probability of getting two heads?
a. 1/8
b. 3/8
c. 5/8
d. 3/5
8. An event is unlikely to happen. Its probability is closest to which among the following?
a. 1
b. 0.1
c. 0.0001
d. 0.00001
9. A letter is chosen at random from the word ‘ASSASSINATION’. What will be the probability that it is a vowel?
a. 6/13
b. 11/13
c. 5/13
d. 13/6
10. A girl has a cube one letter written on each face, as shown below:
M, N, P, M, N, and M
The cube is thrown once. What will be the probability of getting M?
a. 1/3
b. 1/2
c. 2/5
d. 3/7
Chapter - 15 Probability Quiz-3 | Math Class 10th
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Question 1 of 10
1. Question
A letter of English alphabets is chosen at random. What will be the probability that the letter chosen is a vowel?
Correct
We know that “A, E, I, O, U” are vowels
Number of vowels = 5
Number of possible outcomes = 5
Number of total outcomes = 26
∴ Required Probability = 5/26Incorrect
We know that “A, E, I, O, U” are vowels
Number of vowels = 5
Number of possible outcomes = 5
Number of total outcomes = 26
∴ Required Probability = 5/26 -
Question 2 of 10
2. Question
A lot consists of 40 mobile phones of which 32 are good, 3 have only minor defects and 5 have major defects. Ram will buy a phone if it is good or have minor defects. One phone is selected at random. What will be the probability that it is acceptable to Ram?
Correct
Number of phones which are good and minor defects = 32 + 3 = 35
Number of possible outcomes = 35
Number of Total outcomes = 40
∴ Required Probability= 35/40 = 7/8Incorrect
Number of phones which are good and minor defects = 32 + 3 = 35
Number of possible outcomes = 35
Number of Total outcomes = 40
∴ Required Probability= 35/40 = 7/8 -
Question 3 of 10
3. Question
1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ramesh has purchased one lottery ticket, what is the probability of winning a prize?
Correct
Number of possible outcomes = 5
Number of total outcomes = 1000
∴ Required Probability = 5/1000 = 1/200Incorrect
Number of possible outcomes = 5
Number of total outcomes = 1000
∴ Required Probability = 5/1000 = 1/200 -
Question 4 of 10
4. Question
The king, queen and jack of clubs are removed from a deck of 52 cards and the remaining cards are shuffled. A card is drawn from the remaining cards. What will be the probability of getting a king?
Correct
K, Q, J of clubs i.e. 3 cards are removed, therefore remaining cards = 52 – 3 = 49
3 kings are left in the pack
Number of possible outcomes = 3
Number of total outcomes = 52 – 3 = 49
∴ Required Probability =3/49Incorrect
K, Q, J of clubs i.e. 3 cards are removed, therefore remaining cards = 52 – 3 = 49
3 kings are left in the pack
Number of possible outcomes = 3
Number of total outcomes = 52 – 3 = 49
∴ Required Probability =3/49 -
Question 5 of 10
5. Question
Which of the following cannot be the probability of an event?
Correct
17/16 Cannot be the probability of an event because probability of an event cannot be greater than 1.
Incorrect
17/16 Cannot be the probability of an event because probability of an event cannot be greater than 1.
-
Question 6 of 10
6. Question
If the probability of an event is ‘p’, what will be the probability of its complementary event?
Correct
If the probability of an event is p, the probability of its complementary event will be 1− p because we know that the sum of probability an event and its complementary event is always 1
p + 1 – p = 1Incorrect
If the probability of an event is p, the probability of its complementary event will be 1− p because we know that the sum of probability an event and its complementary event is always 1
p + 1 – p = 1 -
Question 7 of 10
7. Question
Three coins are tossed once. What will be the probability of getting two heads?
Correct
Total outcomes = {HHH, TTT, HHT, HTH, HTT, THH, THT, TTH} = 8
Number of possible outcomes = 3
∴ Required Probability = 3/8Incorrect
Total outcomes = {HHH, TTT, HHT, HTH, HTT, THH, THT, TTH} = 8
Number of possible outcomes = 3
∴ Required Probability = 3/8 -
Question 8 of 10
8. Question
An event is unlikely to happen. Its probability is closest to which among the following?
Correct
An event is unlikely to happen. Its probability is very close to zero but not zero, so it is equal to 0.00001.
Incorrect
An event is unlikely to happen. Its probability is very close to zero but not zero, so it is equal to 0.00001.
-
Question 9 of 10
9. Question
A letter is chosen at random from the word ‘ASSASSINATION’. What will be the probability that it is a vowel?
Correct
Vowels present in the given word are A, A, I, A, I, O = 6
Number of possible outcomes = {A, A, I, A, I, O} = 6
Number of total outcomes = 13
Required Probability = 6/13Incorrect
Vowels present in the given word are A, A, I, A, I, O = 6
Number of possible outcomes = {A, A, I, A, I, O} = 6
Number of total outcomes = 13
Required Probability = 6/13 -
Question 10 of 10
10. Question
A girl has a cube one letter written on each face, as shown below:
M, N, P, M, N, and M
The cube is thrown once. What will be the probability of getting M?Correct
Number of possible outcomes (getting M) = 3
Number of total outcomes = 6
∴ Required Probability = 3/6 = 1/2Incorrect
Number of possible outcomes (getting M) = 3
Number of total outcomes = 6
∴ Required Probability = 3/6 = 1/2