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Chapter 14 of 14
Flashcards

Probability

Rajasthan Board · Class 10 · Mathematics

Flashcards for Probability — Rajasthan Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

57 questions20 flashcards5 concepts

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A Venn diagram showing a sample space (S) and an event (A), with the region outside A but within S shaded to represent the complementary event (A').
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20 Flashcards
Card 1Basic Probability

A coin is tossed once. What is the probability of getting a head?

Answer

Step 1: Identify total possible outcomes = {Head, Tail} = 2 outcomes. Step 2: Identify favourable outcomes for getting head = {Head} = 1 outcome. Step 3: Apply formula P(E) = Favourable outcomes/Total

Card 2Basic Probability

A die is thrown once. Find the probability of getting an even number.

Answer

Step 1: Total possible outcomes = {1, 2, 3, 4, 5, 6} = 6 outcomes. Step 2: Favourable outcomes (even numbers) = {2, 4, 6} = 3 outcomes. Step 3: Apply P(E) = 3/6 = 1/2 = 0.5. Answer: 1/2 or 0.5

Card 3Card Problems

From a deck of 52 cards, one card is drawn. What is the probability of getting a king?

Answer

Step 1: Total possible outcomes = 52 cards. Step 2: Favourable outcomes (kings) = 4 kings in deck. Step 3: Apply P(E) = 4/52 = 1/13. Answer: 1/13 ≈ 0.077

Card 4Ball Problems

A bag contains 5 red balls and 3 blue balls. One ball is drawn randomly. Find P(red ball).

Answer

Step 1: Total balls = 5 red + 3 blue = 8 balls. Step 2: Favourable outcomes (red balls) = 5. Step 3: Apply P(red) = 5/8 = 0.625. Answer: 5/8 or 0.625

Card 5Types of Events

What is the probability of an impossible event? Give an example with calculation.

Answer

Probability of impossible event = 0. Example: Getting number 7 on a standard die. Step 1: Total outcomes = {1,2,3,4,5,6} = 6. Step 2: Favourable outcomes for getting 7 = 0 (impossible). Step 3: P(gett

Card 6Types of Events

What is the probability of a certain event? Give an example with calculation.

Answer

Probability of certain event = 1. Example: Getting a number less than 7 on a die. Step 1: Total outcomes = {1,2,3,4,5,6} = 6. Step 2: Favourable outcomes (numbers < 7) = {1,2,3,4,5,6} = 6. Step 3: P(n

Card 7Multiple Events

Two coins are tossed simultaneously. Find the probability of getting at least one head.

Answer

Step 1: Total outcomes = {HH, HT, TH, TT} = 4. Step 2: Favourable outcomes (at least one head) = {HH, HT, TH} = 3. Step 3: P(at least one head) = 3/4 = 0.75. Alternative: P(at least one head) = 1 - P(

Card 8Number Properties

A die is thrown. Find the probability of getting a prime number.

Answer

Step 1: Total outcomes = {1, 2, 3, 4, 5, 6} = 6. Step 2: Identify prime numbers from 1-6: {2, 3, 5} = 3 outcomes. (Note: 1 is not prime, 4 and 6 are composite). Step 3: P(prime) = 3/6 = 1/2 = 0.5. Ans

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Frequently Asked Questions

What are the important topics in Probability for Rajasthan Board Class 10 Mathematics?
Probability covers several key topics that are frequently asked in Rajasthan Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Probability — Rajasthan Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
How many flashcards are available for Probability?
There are 20 flashcards for Probability covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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