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Important Questions

Introduction To Probability

NIOS · Class 10 · Maths

Most important questions from Introduction To Probability for NIOS Class 10 Maths board exam 2026. MCQs, short answer, and long answer questions with marks.

40 questions26 flashcards5 concepts

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An illustration showing various real-life scenarios where probability concepts like 'may', 'likely', 'unlikely', 'chances', 'doubt' are used, demonstrating uncertainty.
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40 Questions·
multiple choicenumerical

Sample Questions

1multiple choice
1 marks

If P(E) = 0.3, what is P(not E)?

Show answer

0.7

Step 1: Recall the complement rule: P(E) + P(not E) = 1. Step 2: Given that P(E) = 0.3. Step 3: Substitute in the formula: 0.3 + P(not E) = 1. Step 4: Solve for P(not E): P(not E) = 1 - 0.3 = 0.7.

2multiple choice
1 marks

Two coins are tossed together. What is the probability of getting at least one head?

Show answer

3/4

Step 1: List all possible outcomes: HH, HT, TH, TT (total = 4). Step 2: Identify outcomes with at least one head: HH, HT, TH (favorable = 3). Step 3: Apply probability formula: P(at least one head) = 3/4. Alternative method: P(at least one head) = 1 - P(no heads) = 1 - P(TT) = 1 - 1/4 = 3/4.

3multiple choice
1 marks

A die is rolled. What is the probability of getting a number greater than 4?

Show answer

1/3

Step 1: List all possible outcomes on a die: 1, 2, 3, 4, 5, 6 (total = 6). Step 2: Identify numbers greater than 4: 5 and 6 (favorable = 2). Step 3: Apply probability formula: P(number > 4) = 2/6. Step 4: Simplify the fraction: 2/6 = 1/3.

4multiple choice
1 marks

A bag contains 5 white balls and 7 black balls. What is the probability of drawing a white ball?

Show answer

5/12

Step 1: Calculate total number of balls: 5 white + 7 black = 12 balls. Step 2: Number of white balls = 5. Step 3: Apply probability formula: P(white) = 5/12. Step 4: The fraction 5/12 is already in simplest form, so the answer is 5/12.

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Frequently Asked Questions

What are the important topics in Introduction To Probability for NIOS Class 10 Maths?
Key topics in Introduction To Probability include Probability Concepts Overview, Probability Concepts Overview, Probability Concepts Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Introduction To Probability — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 40 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Introduction To Probability?
There are 40 practice questions available for Introduction To Probability. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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