Class 10 • Maths • Chapter 14
PROBABILITY
True & False Quiz
Predict. Analyse. Quantify.
✓True
✗False
25
Questions
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Ch.14
Chapter
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X
Class
Why True & False for PROBABILITY?
How this format sharpens your conceptual clarity
🔵 Probability is the mathematics of uncertainty — used in AI, finance, medicine, and every decision under uncertainty.
✅ CBSE Class X focuses on classical probability — equally likely outcomes, complement, and basic event operations.
🎯 Most errors happen in counting sample space — especially for dice (36), cards (52), and multi-coin (2ᵢ) problems.
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
The probability of any event always lies between 0 and 1, including both 0 and 1.
Q 2
An event whose probability is 0.8 is more likely to happen than an event whose probability is 0.3.
Q 3
If an event cannot occur in an experiment, its probability is 1.
Q 4
If an event is certain to occur, then its probability is 0.
Q 5
For any event \(E\), the sum of the probabilities of \(E\) and “not \(E\)” is equal to 1.
Q 6
The probability of an event can never be a negative number.
Q 7
The probability of an event can be greater than 1 if there are many favourable outcomes.
Q 8
In a single toss of a fair coin, the events “getting a head” and “getting a tail” are equally likely.
Q 9
When a fair die is thrown once, the probability of getting a number greater than 6 is 1/6.
Q 10
When a fair die is thrown once, the probability of getting an even number is 3/6.
Q 11
The probability that a student chosen at random from a class is a girl plus the probability that the student is a boy is 1.
Q 12
Experimental probability is always exactly equal to theoretical probability.
Q 13
As the number of trials of an experiment increases, the experimental probability of an event tends to get closer to the theoretical probability.
Q 14
If an event has probability 0.5, it is sometimes called an even-chance event.
Q 15
The probability of drawing a red ball from a bag is independent of how many red balls the bag contains.
Q 16
When a card is drawn at random from a well-shuffled standard deck of 52 cards, the probability of getting any particular card is 1/52.
Q 17
If two events cannot happen at the same time, they are called mutually exclusive events.
Q 18
In a single toss of two different coins together, getting “one head and one tail” is the only possible outcome.
Q 19
In any probability experiment, the sum of the probabilities of all possible distinct outcomes is 1.
Q 20
If the probability of an event E is 3/5, then the probability of “not E” is 2/5.
Q 21
An event with probability very close to 0 is described as a rare or unlikely event.
Q 22
If an outcome is guaranteed to happen in every trial, it is called an impossible event.
Q 23
To compute theoretical probability, outcomes of the experiment must be equally likely.
Q 24
In a fair game based on tossing a fair coin, the probability of winning by choosing heads is different from choosing tails.
Q 25
If the probability of a certain event is written as a percentage, it is 100%.
Key Takeaways — PROBABILITY
Core facts for CBSE Boards & exams
1
P(E) = n(E) / n(S) — only for equally likely outcomes.
2
0 ≤ P(E) ≤ 1 always; P(impossible event) = 0; P(sure event) = 1.
3
P(E') = 1 − P(E) — use complement for "at least" and "not" problems.
4
Sample space: one coin = 2, two coins = 4, one die = 6, two dice = 36, deck = 52.
5
A deck has 4 suits × 13 cards; face cards = 12 (J, Q, K × 4 suits).
6
Elementary events are mutually exclusive and exhaustive; their probabilities sum to 1.