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Maths Quiz for Class 8 Probability |
In this post, we are providing 20 online maths quiz
questions for class 8 probability. Online maths quiz will take around 20
minutes to complete it.
Question 1: What is the probability of a sure event?
A) 0
B) ½
C) 1
D) ¼
Explanation: The probability of a sure event is 1.
Question 2: What is the probability of an impossible event?
A) 0
B) 1
C) ½
D) ¼
Explanation: The probability of an impossible event is 0.
Question 3: If p is the probability of an event, then which of the following is correct?
A) 0 ≤ p ≤ 1
B) 0 ≤ p < 1
C) 0 < p ≤ 1
D) 0 < p < 1
Explanation: If p is the probability of an event, then 0 ≤ p ≤ 1.
Question 4: If n(E) is the number of favourable outcomes and n(S) is the total number of outcomes, then the probability P(E) is given by _________.
A) P(E) = n(E).n(S)
B) P(E) = n(E)/n(S)
C) P(E) = n(S)/n(E)
D) P(E) = n(S)/n(S)
Explanation: The probability is given by P(E) = n(E)/n(S).
Question 5: When a coin is tossed, what is the probability of getting a tail?
A) 1/3
B) ½
C) ¼
D) 1
Explanation: We know that P(E) = n(E)/n(S) = ½.
Question 6: If two coins are tossed simultaneously, then what is the probability of getting heads on both the coins?
A) ½
B) 1/3
C) ¼
D) 1/5
Explanation: When two coins are tossed, then the sample space = {HH, HT, TH, TT}. Here, n(E) = 1 and n(S) = 4. Thus, P(E) = n(E)/n(S) = ¼
Question 7: When a die is rolled, what is the probability of getting a prime number?
A) 1/3
B) ½
C) ¼
D) 1/6
Explanation: When a die is rolled, the sample space = {1, 2, 3, 4, 5, 6}. Prime numbers are {2, 3, 5}. Here, n(E) = 3 and n(S) = 6. Now, the probability of getting a prime number, P(E) = n(E)/n(S) = 3/6 = ½
Question 8: If two dice are rolled simultaneously, then find the probability of getting the same number on both the dice.
A) 1/12
B) 1/18
C) 1/9
D) 1/6
Explanation: When two dice are rolled simultaneously, the total number of outcomes n(S) = 36. The number of favourable outcomes n(E) = 6. Thus, the probability, P(E) = n(E)/n(S) = 6/36 = 1/6
Question 9: When three coins are tossed simultaneously, what the probability of getting exactly two heads?
A) 3/8
B) 1/8
C) 1/4
D) 5/8
Explanation: When three coins are tossed simultaneously, the sample space = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}. The favourable outcomes = {HHT, HTH, THH}. Here, n(E) = 3 and n(S) = 8. Therefore, the probability of getting exactly two heads, P(E) = n(E)/n(S) = 3/8
Question 10: If two dice are rolled simultaneously, what is the probability of getting the sum of the numbers on two dice as 12?
A) 1/6
B) 1/18
C) 1/36
D) 1/12
Explanation: When two dice are rolled simultaneously, the total number of outcomes n(S) = 36. The favourable outcomes are {6, 6}. So, n(E) = 1. Thus, P(E) = n(E)/n(S) = 1/36
Question 11: When two coins are tossed, find the probability of getting at least one head.
A) 1/4
B) 3/4
C) 1/2
D) 2/3
Explanation: Sample space = {HH, HT, TH, TT} and favourable outcomes = {HH, HT, TH}. Thus, P(E) = n(E)/n(S) = 3/4
Question 12: In a pack of cards, there are 52 cards. Find the probability of getting a red card.
A) 1/13
B) 1/2
C) 1/26
D) 1/52
Explanation: In a pack of cards, there are 26 red cards. Number of favourable outcomes = 26. Probability (red card) = 26/52 = ½
Question 13: If a card is drawn from a pack of 52 playing cards, what is the probability of getting a king?
A) 1/13
B) 1/26
C) 4/26
D) 1/4
Explanation: Number of kings in playing cards = 4. Thus, the probability of getting a king = 4/52 = 1/13
Question 14: Find the probability of getting a spade from a pack of 52 cards in a random experiment.
A) 1/13
B) 1/3
C) ½
D) ¼
Explanation: Number of spade cards = 13. Thus, the probability of getting a spade = 13/52 = ¼
Question 15: One of the letters from the word PROBABILITY is chosen at random. What is the probability that the chosen letter is B?
A) 4/11
B) 3/11
C) 2/11
D) 1/11
Explanation: Total number of letters in the word PROBABILITY = 11. Number of letter B in the word PROBABILITY = 2. Thus, the probability that the chosen letter is B = 2/11
Question 16: A box contains 4 red, 7 green, 3 yellow and 6 blue balls. If a ball is chosen at random, what is the probability that the chosen ball is red?
A) 1/4
B) 1/5
C) 4/5
D) 7/20
Explanation: Total number of balls = 4 + 7 + 3 + 6 = 20. Number of red balls = 4. Probability of choosing a red ball = 4/20 = 1/5
Question 17: In a class of 40 students, 10 students play volleyball, 25 students play cricket and the remaining students play chess. If one student is selected at random, find the probability that the selected student plays chess.
A) 1/8
B) 5/8
C) 1/5
D) 1/4
Explanation: Total number of students = 40. Number of students who play chess = 40 – (10 + 25) = 5. Probability that the selected student plays chess = 5/40 = 1/8
Question 18: A die is rolled. Find the probability of getting a number less than 7.
A) 0
B) 1/5
C) 1
D) 1/2
Explanation: When a die is rolled, all the numbers are less than 7, that is, n(E) = 6 and n(S) = 6. So, probability = 6/6 = 1
Question 19: A letter is chosen at random from the word DIVISIBILITY. What is the probability that the chosen letter is I?
A) 1/2
B) 5/12
C) 1/3
D) 7/12
Explanation: The number of letters in the word DIVISIBILITY = 12. Number of the letter I in the word DIVISIBILITY = 5. So, the probability of choosing a letter I = 5/12
Question 20: A jar contains 20 green marbles, 40 red marbles, 15 pinks marbles and 25 blue marbles. If Aryan picks up a marble at random from the jar, what is the probability that the chosen marble is blue?
A) 1/5
B) 2/5
C) 1/4
D) 3/20
Explanation: Total number of marbles = 20 + 40 + 15 + 25 = 100. Number of blue marbles = 25. Probability of choosing a blue marble = 25/100 = 1/4
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