Chapter 15 Probability- MCQ Online Test 1 Class 10 Maths
1. If ‘φ’ is an impossible event, then find the value of p(φ)?
a. 2
b. 5
c. 0
d. 3
2. If S is the sample space of a random experiment, then find p(S)?
a. 5
b. 1
c. 3
d. 2
3. If ‘p’ is the probability of an event, then p satisfies which of the following?
a. 0 < p ⩽1
b. 0 ⩽ p <1
c. 0 < p < 1
d. 0 ⩽ p ⩽ 1
4. Two dice are thrown simultaneously. What is the probability of getting a doublet?
a. 15/6
b. 1/8
c. 1/6
d. 1/16
5. An unbiased die is thrown once. What is the probability of getting a prime or composite number?
a. 5/6
b. 1/6
c. 7/6
d. 9/6
6. What is the probability of getting 3 head or 3 tails in tossing a coin 3 times?
a. 3/4
b. 1/4
c. 1/7
d. 1/9
7. The probability of an impossible event is
a. 100
b. 0
c. 10
d. 20
8. What is the probability that a leap year will have 53 Sundays or 53 Mondays?
a. 3/7
b. 5/7
c. 6/7
d. 9/7
9. What is the probability that a non-leap year will have 53 Fridays and 53 Saturdays?
a. 5
b. 4
c. 3
d. 0
10. The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards?
a. 1/52
b. 14/52
c. 19/52
d. 21/52
Chapter - 15 Probability Quiz-1 | Math Class 10th
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Question 1 of 10
1. Question
If ‘φ’ is an impossible event, then find the value of p(φ)?
Correct
An event which has no chance of occurring is called an impossible event.
Incorrect
An event which has no chance of occurring is called an impossible event.
-
Question 2 of 10
2. Question
If S is the sample space of a random experiment, then find p(S)?
Correct
If S is the sample space of a random experiment, the p(S) = 1
Incorrect
If S is the sample space of a random experiment, the p(S) = 1
-
Question 3 of 10
3. Question
If ‘p’ is the probability of an event, then p satisfies which of the following?
Correct
Probability of an event always lie between 0 and 1. Probability is zero for impossible event, it is 1 for definite event. So, probability can take any value from 0 to 1 including both of them.
Incorrect
Probability of an event always lie between 0 and 1. Probability is zero for impossible event, it is 1 for definite event. So, probability can take any value from 0 to 1 including both of them.
-
Question 4 of 10
4. Question
Two dice are thrown simultaneously. What is the probability of getting a doublet?
Correct
Doublet means getting same number on both dice simultaneously
Doublets = (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
Number of possible outcomes = 6
Total number of ways to throw a dice = 36
Probability of getting a doublet = 6/36 = 1/6Incorrect
Doublet means getting same number on both dice simultaneously
Doublets = (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
Number of possible outcomes = 6
Total number of ways to throw a dice = 36
Probability of getting a doublet = 6/36 = 1/6 -
Question 5 of 10
5. Question
An unbiased die is thrown once. What is the probability of getting a prime or composite number?
Correct
Prime numbers on a die are 2, 3, 5
Composite numbers on a die are 4, 6
Prime and Composite numbers on a die = 2, 3, 4, 5, 6
Number of possible outcomes = 5
Number of Total outcomes = 6Required Probability = 5/6
Incorrect
Prime numbers on a die are 2, 3, 5
Composite numbers on a die are 4, 6
Prime and Composite numbers on a die = 2, 3, 4, 5, 6
Number of possible outcomes = 5
Number of Total outcomes = 6Required Probability = 5/6
-
Question 6 of 10
6. Question
What is the probability of getting 3 head or 3 tails in tossing a coin 3 times?
Correct
Total outcomes = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT) = 8
Number of possible outcomes = (HHH) or (TTT) = 2
Required Probability = 2/8 = 1/4Incorrect
Total outcomes = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT) = 8
Number of possible outcomes = (HHH) or (TTT) = 2
Required Probability = 2/8 = 1/4 -
Question 7 of 10
7. Question
The probability of an impossible event is
Correct
An event which has no chance of occurrence is called an impossible event.
The probability of getting more than 6 when a die is thrown is an impossible event because the highest number in a die is 6
The probability of an impossible event is always zero (0)
Incorrect
An event which has no chance of occurrence is called an impossible event.
The probability of getting more than 6 when a die is thrown is an impossible event because the highest number in a die is 6
The probability of an impossible event is always zero (0)
-
Question 8 of 10
8. Question
What is the probability that a leap year will have 53 Sundays or 53 Mondays?
Correct
Leap year contains 366 days = 52 weeks + 2 days
52 weeks contain 52 Sundays and 52 weeks contain 52 Mondays
We will get 53 Sundays or 53 Mondays if one of the remaining two days is a Sunday or Monday Total possibilities for two days are:
(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)
Number of Total possible outcomes = 7
Number of possible outcomes either Sunday or Monday or Both = 3
Required Probability = 3/7Incorrect
Leap year contains 366 days = 52 weeks + 2 days
52 weeks contain 52 Sundays and 52 weeks contain 52 Mondays
We will get 53 Sundays or 53 Mondays if one of the remaining two days is a Sunday or Monday Total possibilities for two days are:
(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)
Number of Total possible outcomes = 7
Number of possible outcomes either Sunday or Monday or Both = 3
Required Probability = 3/7 -
Question 9 of 10
9. Question
What is the probability that a non-leap year will have 53 Fridays and 53 Saturdays?
Correct
Non-leap year contains 366 days = 52 weeks + 1 day
52 weeks contain 52 Fridays and 52 weeks contain 52 Saturdays
We will get 53 Fridays or 53 Saturdays if remaining one day is a Friday and Saturday
Therefore, Total possibility is zero.
Number of Total possible outcomes = 7
Number of possible outcomes Friday and Saturday = 0
Required Probability = 0/7 =0Incorrect
Non-leap year contains 366 days = 52 weeks + 1 day
52 weeks contain 52 Fridays and 52 weeks contain 52 Saturdays
We will get 53 Fridays or 53 Saturdays if remaining one day is a Friday and Saturday
Therefore, Total possibility is zero.
Number of Total possible outcomes = 7
Number of possible outcomes Friday and Saturday = 0
Required Probability = 0/7 =0 -
Question 10 of 10
10. Question
The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards?
Correct
Number of possible outcomes (queen of diamonds) = 1
Number of Total outcomes = 52
Required Probability = 1/52Incorrect
Number of possible outcomes (queen of diamonds) = 1
Number of Total outcomes = 52
Required Probability = 1/52