Probability MCQs are a significant component of the CSS Competitive Exam, evaluating the candidates’ skills in analyzing random events, calculations of likelihood, and statistical probability. The questions test mathematical skill in elementary probability principles, independent and dependent events, conditional probability, and Bayes’ theorem. Probability mastery is important for performing well in the General Ability section of the CSS exam. Familiarity with important concepts such as sample space, mutually exclusive events, and probability distributions enables candidates to solve Probability MCQs effectively.
Importance of Probability in CSS Exam
The CSS General Ability portion of the exam comprises Probability MCQs to analyze a candidate’s analytical skills, logical reasoning, and numerical problem-solving. It demands the use of probability formulas, combinatorial techniques, and statistical computation to resolve problems that occur in reality. The majority of candidates face difficulties while solving probability questions based on conditional probability calculations and event dependencies. Yet, a command over shortcut techniques, probability trees, and formula-based techniques considerably enhances precision. Good grasp of probability concepts is essential to solve risk assessment, game theory, and decision-making questions in the CSS Competitive Exam.
How to Prepare for Probability MCQs
To ace Probability MCQs, candidates should attempt basic probability problems, conditional probability situations, and probability in multiple events calculations. Recall of important formulas like P(A) = Favorable Outcomes / Total Outcomes and P(A ∩ B) = P(A) × P(B) for unrelated events aids in fast calculation. Attempting CSS past paper questions, utilizing Free Flashcards, and taking web quizzes makes one faster and accurate. Conceptual clarity is strengthened by learning real-world applications of probability in insurance, finance, and statistics. Practicing through quizzes and learning shortcut methods guarantees improved accuracy and a high score in the CSS Competitive Exam.
What is the probability of rolling a 3 on a standard six-sided die?
a) 1/6
b) 1/4
c) 1/2
d) 1/3
If a single card is drawn from a standard deck of 52 cards, what is the probability of drawing a queen?
a) 1/13
b) 1/26
c) 1/52
d) 1/4
What is the probability of flipping a coin and getting heads?
a) 1/4
b) 1/2
c) 3/4
d) 1/3
In a bag containing 5 red balls and 3 green balls, what is the probability of drawing a red ball?
a) 3/8
b) 5/8
c) 1/2
d) 3/5
What is the probability of rolling an even number on a standard six-sided die?
a) 1/2
b) 1/3
c) 2/3
d) 1/4
A bag contains 4 blue marbles and 6 yellow marbles. What is the probability of drawing a blue marble?
a) 2/5
b) 4/10
c) 3/5
d) 4/6
What is the probability of getting a sum of 7 when rolling two six-sided dice?
a) 1/6
b) 5/36
c) 7/36
d) 1/12
If a die is rolled, what is the probability of getting a number greater than 4?
a) 1/3
b) 1/2
c) 1/6
d) 5/6
In a deck of 52 cards, what is the probability of drawing a card that is either a heart or a diamond?
a) 1/4
b) 1/2
c) 3/4
d) 1/3
What is the probability of drawing a king from a standard deck of 52 cards?
a) 1/13
b) 1/52
c) 1/4
d) 1/16
In a standard deck of 52 cards, what is the probability of drawing a spade?
a) 1/4
b) 1/13
c) 1/52
d) 1/2
What is the probability of drawing a prime number from the numbers 1 to 10?
a) 1/5
b) 2/5
c) 1/2
d) 3/10
If you roll two dice, what is the probability of getting a sum of 9?
a) 1/9
b) 1/12
c) 4/36
d) 5/36
A box contains 10 red balls and 15 blue balls. If a ball is randomly selected, what is the probability of it being blue?
a) 3/5
b) 1/2
c) 2/5
d) 1/3
What is the probability of drawing a vowel from the English alphabet?
a) 1/5
b) 2/5
c) 3/5
d) 4/5
If a coin is flipped three times, what is the probability of getting exactly two heads?
a) 3/8
b) 1/2
c) 1/4
d) 5/8
What is the probability of rolling a number less than 5 on a six-sided die?
a) 2/3
b) 1/2
c) 4/6
d) 1/3
A jar contains 6 red, 7 blue, and 5 green balls. What is the probability of drawing a green ball?
a) 5/18
b) 6/18
c) 7/18
d) 5/12
If you roll a single die, what is the probability of rolling a 5 or a 6?
a) 1/6
b) 1/3
c) 1/2
d) 1/4
What is the probability of drawing a face card (jack, queen, or king) from a standard deck of 52 cards?
a) 3/13
b) 1/13
c) 1/4
d) 1/3
What is the probability of rolling a number divisible by 3 on a six-sided die?
a) 1/3
b) 1/2
c) 1/6
d) 2/3
In a game, the probability of winning is 0.4. What is the probability of losing?
a) 0.6
b) 0.4
c) 0.5
d) 0.3
What is the probability of drawing a number greater than 10 from a standard deck of cards?
a) 1/13
b) 4/52
c) 3/13
d) 4/13
A bag contains 4 white and 6 black balls. What is the probability of not drawing a black ball?
a) 2/5
b) 4/10
c) 1/3
d) 2/5
What is the probability of drawing an even number from the numbers 1 to 10?
a) 1/2
b) 1/5
c) 3/10
d) 4/10
What is the probability of rolling a number less than 3 on a standard six-sided die?
a) 1/3
b) 1/6
c) 1/2
d) 2/6
If a dice is rolled once, what is the probability of getting a number that is a multiple of 2 or 3?
a) 5/6
b) 4/6
c) 1/2
d) 2/3
What is the probability of drawing a red card from a standard deck of 52 cards?
a) 1/2
b) 1/4
c) 1/3
d) 1/6
In a class of 30 students, 18 are boys. What is the probability of randomly selecting a girl?
a) 3/5
b) 12/30
c) 1/2
d) 6/15
A box contains 5 red, 3 blue, and 2 green balls. What is the probability of picking a blue ball?
a) 1/3
b) 3/10
c) 1/5
d) 1/2
What is the probability of drawing a card that is not a spade from a standard deck of 52 cards?
a) 3/4
b) 1/4
c) 1/2
d) 2/3
If a die is rolled twice, what is the probability of getting a sum of 5?
a) 4/36
b) 5/36
c) 3/36
d) 2/36
What is the probability of drawing a king or a queen from a standard deck of 52 cards?
a) 2/13
b) 4/52
c) 4/13
d) 8/52
What is the probability of drawing a multiple of 4 from the numbers 1 to 12?
a) 1/3
b) 1/4
c) 2/3
d) 1/6
If you randomly pick a number from 1 to 100, what is the probability of picking a number that is divisible by 5?
a) 1/5
b) 1/10
c) 1/4
d) 1/6
What is the probability of drawing a non-prime number from the numbers 1 to 10?
a) 2/5
b) 3/5
c) 4/5
d) 1/2
What is the probability of rolling a number less than or equal to 4 on a six-sided die?
a) 2/3
b) 1/2
c) 4/6
d) 5/6
If a die is rolled, what is the probability of not rolling a 1?
a) 5/6
b) 1/6
c) 2/3
d) 4/5
What is the probability of drawing an even number from the numbers 1 to 20?
a) 1/2
b) 1/4
c) 3/5
d) 7/10
If you randomly choose a letter from the word “PROBABILITY,” what is the probability of choosing the letter ‘B’?
a) 1/4
b) 2/11
c) 1/11
d) 2/9
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