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PROBABILITY - MCQs

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Maths — PROBABILITY

50 Questions Class 10 MCQs

What is the probability of getting a head when a fair coin is tossed once?

a a. \(0\) b b. \(\frac{1}{2}\) c c. \(1\) d d. \(\frac{1}{3}\)

How many outcomes are possible when a die is thrown once?

a a. 4 b b. 5 c c. 6 d d. 8

What is the probability of getting an even number on a fair die?

a a. \(\frac{1}{6}\) b b. \(\frac{1}{3}\) c c. \(\frac{1}{2}\) d d. \(\frac{2}{3}\)

What is the probability of an impossible event?

a a. \(-1\) b b. \(0\) c c. \(\frac{1}{2}\) d d. \(1\)

What is the probability of a sure event?

a a. \(0\) b b. \(\frac{1}{2}\) c c. \(1\) d d. \(\frac{3}{2}\)

The probability of an event E is \(\frac{3}{5}\). What is the probability of its complement?

a a. \(\frac{3}{5}\) b b. \(\frac{1}{5}\) c c. \(\frac{2}{5}\) d d. \(\frac{5}{3}\)

Which of the following is a random experiment?

a a. Solving an equation b b. Tossing a coin c c. Writing a number d d. Measuring length

What is the sample space when a coin is tossed once?

a a. \(\{H\}\) b b. \(\{T\}\) c c. \(\{H, T\}\) d d. \(\{1, 2\}\)

What is the probability of getting a number greater than 6 on a die?

a a. \(1\) b b. \(\frac{1}{6}\) c c. \(0\) d d. \(\frac{5}{6}\)

Which value cannot be a probability?

a a. \(\frac{3}{4}\) b b. \(0\) c c. \(1\) d d. \(\frac{5}{4}\)

How many cards are there in a standard deck?

a a. 26 b b. 32 c c. 52 d d. 54

What is the probability of drawing a red card from a deck?

a a. \(\frac{1}{4}\) b b. \(\frac{1}{2}\) c c. \(\frac{3}{4}\) d d. \(\frac{1}{13}\)

What is meant by equally likely outcomes?

a a. Outcomes with same result b b. Outcomes with equal chance c c. Outcomes that never occur d d. Outcomes with unequal chance

What is the probability of getting an odd number on a die?

a a. \(\frac{1}{6}\) b b. \(\frac{1}{2}\) c c. \(\frac{2}{3}\) d d. \(\frac{1}{3}\)

If \(P(E)=0\), then event E is:

a a. sure b b. equally likely c c. impossible d d. random

If \(P(E)=1\), then event E is:

a a. impossible b b. uncertain c c. sure d d. random

What is the probability of getting tail when a coin is tossed?

a a. \(1\) b b. \(\frac{1}{2}\) c c. \(\frac{1}{3}\) d d. \(0\)

Which event has probability \(\frac{1}{2}\)?

a a. Sure event b b. Impossible event c c. Event with equal favourable and unfavourable outcomes d d. Complementary event

What is the probability of drawing an ace from a deck?

a a. \(\frac{1}{52}\) b b. \(\frac{1}{13}\) c c. \(\frac{4}{13}\) d d. \(\frac{1}{4}\)

Which term represents all possible outcomes?

a a. Event b b. Experiment c c. Sample space d d. Probability

The probability of getting a prime number on a die is:

a a. \(\frac{1}{6}\) b b. \(\frac{1}{2}\) c c. \(\frac{2}{3}\) d d. \(\frac{5}{6}\)

What is the probability of getting a black card from a deck?

a a. \(\frac{1}{4}\) b b. \(\frac{1}{2}\) c c. \(\frac{3}{4}\) d d. \(\frac{1}{13}\)

Which is a simple event?

a a. Getting 2 on a die b b. Getting even number c c. Getting prime number d d. Getting number less than 6

What is the probability of the sample space?

a a. \(0\) b b. \(\frac{1}{2}\) c c. \(1\) d d. Undefined

What is the probability of drawing a king from a deck?

a a. \(\frac{1}{13}\) b b. \(\frac{1}{52}\) c c. \(\frac{1}{4}\) d d. \(\frac{3}{13}\)

Which probability value is correct?

a a. \(-0.5\) b b. \(1.2\) c c. \(0.75\) d d. \(2\)

What is the probability of getting a number less than 3 on a die?

a a. \(\frac{1}{6}\) b b. \(\frac{1}{3}\) c c. \(\frac{1}{2}\) d d. \(\frac{2}{3}\)

What does probability measure?

a a. Speed b b. Length c c. Likelihood d d. Area

Which is a compound event?

a a. Getting head b b. Getting 6 c c. Getting even number d d. Getting tail

What is the probability of getting a red card that is a heart?

a a. \(\frac{1}{52}\) b b. \(\frac{1}{26}\) c c. \(\frac{1}{13}\) d d. \(\frac{1}{4}\)

Which chapter introduces probability in NCERT Class X?

a a. Statistics b b. Trigonometry c c. Probability d d. Geometry

What is the probability of getting a number divisible by 3 on a die?

a a. \(\frac{1}{6}\) b b. \(\frac{1}{3}\) c c. \(\frac{1}{2}\) d d. \(\frac{2}{3}\)

What is the complement of drawing a red card?

a a. Drawing a heart b b. Drawing a diamond c c. Drawing a black card d d. Drawing an ace

Which statement is true?

a a. Probability can be negative b b. Probability can exceed 1 c c. Probability lies between 0 and 1 d d. Probability has no limits

What is the probability of getting 1 when a die is thrown?

a a. \(\frac{1}{6}\) b b. \(\frac{1}{3}\) c c. \(\frac{1}{2}\) d d. \(\frac{5}{6}\)

Which of the following is an impossible event?

a a. Getting head b b. Getting 7 on a die c c. Getting tail d d. Getting 3

Probability is expressed as:

a a. Integer only b b. Fraction or decimal c c. Negative number d d. Whole number greater than 1

What is the probability of getting at least one head when tossing one coin?

a a. \(0\) b b. \(\frac{1}{2}\) c c. \(1\) d d. \(\frac{1}{3}\)

What is the probability of drawing a face card?

a a. \(\frac{3}{13}\) b b. \(\frac{1}{13}\) c c. \(\frac{1}{4}\) d d. \(\frac{1}{52}\)

Which of the following best describes probability?

a a. Guess b b. Certainty c c. Logical measure of chance d d. Assumption

What is the probability of getting tail twice in two independent coin tosses?

a a. \(\frac{1}{2}\) b b. \(\frac{1}{3}\) c c. \(\frac{1}{4}\) d d. \(\frac{3}{4}\)

Which event has the highest probability?

a a. Impossible event b b. Sure event c c. Random event d d. Complementary event

What is the probability of getting a number greater than 2 on a die?

a a. \(\frac{1}{6}\) b b. \(\frac{2}{6}\) c c. \(\frac{4}{6}\) d d. \(\frac{5}{6}\)

Which of the following is not a random experiment?

a a. Tossing a coin b b. Rolling a die c c. Measuring height d d. Drawing a card

What is the probability of drawing a spade?

a a. \(\frac{1}{52}\) b b. \(\frac{1}{13}\) c c. \(\frac{1}{4}\) d d. \(\frac{3}{4}\)

Which probability value shows maximum uncertainty?

a a. 0 b b. \(\frac{1}{2}\) c c. 1 d d. \(\frac{3}{4}\)

Probability helps in:

a a. Guessing b b. Memorising c c. Logical decision making d d. Drawing figures

What is the probability of getting an odd number greater than 3 on a die?

a a. \(\frac{1}{6}\) b b. \(\frac{1}{3}\) c c. \(\frac{1}{2}\) d d. \(\frac{2}{3}\)

Which method is essential before applying probability formula?

a a. Drawing graph b b. Listing outcomes c c. Measuring values d d. Subtracting numbers

Why is probability studied in Class X?

a a. For memorisation b b. For calculation only c c. To understand uncertainty logically d d. To avoid statistics

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Frequently Asked Questions

Probability is a numerical measure of the likelihood of an event occurring when the outcome of an experiment is uncertain.

Classical probability is defined as the ratio of the number of favourable outcomes to the total number of equally likely outcomes.

\( P(E) = \frac{\text{Number of favourable outcomes}}{\text{Total number of equally likely outcomes}} \)

A random experiment is an activity that produces one outcome from several possible outcomes, where the exact result cannot be predicted in advance.

The sample space is the complete set of all possible outcomes of a random experiment.

An event is a specific outcome or a collection of outcomes from the sample space.

Outcomes are equally likely if each outcome has the same chance of occurring.

A sure event is an event that always occurs when the experiment is performed.

The probability of a sure event is 1.

An impossible event is one that cannot occur under any circumstance in the experiment.

The probability of an impossible event is 0.

The value of probability always lies between 0 and 1, inclusive.

No, probability can never be negative.

No, probability cannot exceed 1.

The complement of an event consists of all outcomes that are not part of the event.

PROBABILITY - MCQs

Maths — PROBABILITY

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PROBABILITY – Learning Resources

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PROBABILITY - MCQs

Maths — PROBABILITY

Frequently Asked Questions

Q 01 What is probability in mathematics?

Q 02 What is the classical definition of probability?

Q 03 Write the formula for probability.

Q 04 What is a random experiment?

Q 05 Define sample space.

Q 06 What is an event?

Q 07 What are equally likely outcomes?

Q 08 What is a sure event?

Q 09 What is the probability of a sure event?

Q 10 What is an impossible event?

Q 11 What is the probability of an impossible event?

Q 12 What is the range of probability values?

Q 13 Can probability be negative?

Q 14 Can probability be greater than 1?

Q 15 What is a complementary event?

Recent Posts

PROBABILITY – Learning Resources

Detailed Notes

True / False

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