1. A card is drawn from a pack of 52 cards at random. What is the probability of getting neither an ace nor a king card?
a. 17/13
b. 11/13
c. 4/52
d. 14/52
2. What is the probability of a sure event?
a. 10
b. 5
c. 1
d. 6
3. The probability that it will rain on a particular day is 0.76. What is the probability that it will not rain on that day?
a. 0.24
b. 1.24
c. 3.26
d. 5.18
4. A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. What is the probability that the coin drawn will not be a five rupee coin?
a. 1/18
b. 17/18
c. 7/18
d. 19/18
5. There are 20 boys and 15 girls in a class. A student is chosen as leader at random. What will be the probability that the leader is a boy?
a. 19/12
b. 13/38
c. 4/7
d. 11/7
6. From a well shuffled pack of 52 cards, one card is drawn at random. What will be the probability of getting a black king?
a. 1/26
b. 3/26
c. 5/26
d. 7/26
7. An unbiased die is thrown once. What will be the probability of getting a composite number?
a. 11/3
b. 5/3
c. 2/3
d. 1/3
8. From a well shuffled pack of 52 cards, one card is drawn at random. What will be the probability of getting a diamond 10?
a. 1/52
b. 3/52
c. 7/52
d. 11/52
9. Ram and Shyam are friends. What will be the probability that both will have birthday on the same day?
a. 1/12
b. 1/365
c. 1/30
d. 1/7
10. A letter of English alphabets is chosen at random. What will be the probability that the letter chosen is a consonant?
a. 21/26
b. 7/26
c. 21/6
d. 31/26
Chapter  15 Probability Quiz2  Math Class 10th
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Question 1 of 10
1. Question
A card is drawn from a pack of 52 cards at random. What is the probability of getting neither an ace nor a king card?
Correct
Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Number of cards except ace and king = 52 – 8 = 44
Required Probability = 44/52 = 11/13Incorrect
Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Number of cards except ace and king = 52 – 8 = 44
Required Probability = 44/52 = 11/13 
Question 2 of 10
2. Question
What is the probability of a sure event?
Correct
The probability of a sure event is always 1.
Incorrect
The probability of a sure event is always 1.

Question 3 of 10
3. Question
The probability that it will rain on a particular day is 0.76. What is the probability that it will not rain on that day?
Correct
Given: P (It will rain on a particular day) = 0.76
∴ P (It will not rain on a particular day) = 1 – P (It will rain particular day)
= 1 – 0.76 = 0.24Incorrect
Given: P (It will rain on a particular day) = 0.76
∴ P (It will not rain on a particular day) = 1 – P (It will rain particular day)
= 1 – 0.76 = 0.24 
Question 4 of 10
4. Question
A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. What is the probability that the coin drawn will not be a five rupee coin?
Correct
Number of total coins = 100 + 50 + 20 + 10 = 180
Number of coins except five rupee coins = 180 – 10 = 170
∴ Required Probability = 170/180 = 17/18Incorrect
Number of total coins = 100 + 50 + 20 + 10 = 180
Number of coins except five rupee coins = 180 – 10 = 170
∴ Required Probability = 170/180 = 17/18 
Question 5 of 10
5. Question
There are 20 boys and 15 girls in a class. A student is chosen as leader at random. What will be the probability that the leader is a boy?
Correct
Number of boys = 20
Number of possible outcomes = 20
Number of Total outcomes = 20 + 15 = 35
∴ Required Probability = 20/35 = 4/7Incorrect
Number of boys = 20
Number of possible outcomes = 20
Number of Total outcomes = 20 + 15 = 35
∴ Required Probability = 20/35 = 4/7 
Question 6 of 10
6. Question
From a well shuffled pack of 52 cards, one card is drawn at random. What will be the probability of getting a black king?
Correct
Black kings = club king + spade king = 2
Number of possible outcomes = 2
Number of Total outcomes = 52
∴ Required Probability = 2/52 = 1/26Incorrect
Black kings = club king + spade king = 2
Number of possible outcomes = 2
Number of Total outcomes = 52
∴ Required Probability = 2/52 = 1/26 
Question 7 of 10
7. Question
An unbiased die is thrown once. What will be the probability of getting a composite number?
Correct
Number of composite numbers on a dice = {4, 6} = 2
Number of possible outcomes = 2
Number of Total outcomes = 6
∴ Required Probability = 2/6 = 1/3Incorrect
Number of composite numbers on a dice = {4, 6} = 2
Number of possible outcomes = 2
Number of Total outcomes = 6
∴ Required Probability = 2/6 = 1/3 
Question 8 of 10
8. Question
From a well shuffled pack of 52 cards, one card is drawn at random. What will be the probability of getting a diamond 10?
Correct
Number of diamond 10 = 1
Number of possible outcomes = 1
Number of Total outcomes = 52
∴ Required Probability = 1/52Incorrect
Number of diamond 10 = 1
Number of possible outcomes = 1
Number of Total outcomes = 52
∴ Required Probability = 1/52 
Question 9 of 10
9. Question
Ram and Shyam are friends. What will be the probability that both will have birthday on the same day?
Correct
Ram can have birthday on any day of the 365 days of the year
Shyam has a different birthday if his birthday is on any of the remaining 364 days of the year
Therefore P (Ram and Shyam have different birthdays) = 364 / 365
And so, P (Ram and Shyam have birthdays on the same day) = 1 – P (Ram and Shyam have different birthdays)
= 1 – 364 / 365
= 1/365Incorrect
Ram can have birthday on any day of the 365 days of the year
Shyam has a different birthday if his birthday is on any of the remaining 364 days of the year
Therefore P (Ram and Shyam have different birthdays) = 364 / 365
And so, P (Ram and Shyam have birthdays on the same day) = 1 – P (Ram and Shyam have different birthdays)
= 1 – 364 / 365
= 1/365 
Question 10 of 10
10. Question
A letter of English alphabets is chosen at random. What will be the probability that the letter chosen is a consonant?
Correct
We have
Number of vowels = 5 (a e i o u)
Number of consonants = 21 (26 – 5 = 21)
Number of possible outcomes = 21
Number of total outcomes = 26
∴ Required Probability = 21/26Incorrect
We have
Number of vowels = 5 (a e i o u)
Number of consonants = 21 (26 – 5 = 21)
Number of possible outcomes = 21
Number of total outcomes = 26
∴ Required Probability = 21/26