Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है
Simple problems to find the probability of a specific event occurring
In this Class 10 Mathematics topic from the Probability chapter, students learn how to calculate the chance of a specified event occurring in a simple experiment. They identify the total number of equally likely outcomes and the favourable outcomes, then apply the probability formula: P(E) = favourable outcomes ÷ total outcomes. Problems involving coins, dice, cards, or everyday choices help students define an event, calculate its probability, and express the result as a fraction, decimal, or percentage. The focus is on clear reasoning and interpreting whether an event is more or less likely.
Medium · Level 1 · 1 questions
TOPIC PRACTICE
Quiz this set
Up to 1 questions from this page. Select your focus, then start.
1 questions
Choose questions
View options
0.28
0.30
0.40
0.70
Question 1MediumLevel 1
If \(P(A)=0.4\), \(P(B)=0.7\), and events \(A\) and \(B\) are independent, what is \(P(A\cap B)\)?यदि \(P(A)=0.4\), \(P(B)=0.7\) तथा घटनाएँ \(A\) और \(B\) स्वतंत्र हैं, तो \(P(A\cap B)\) क्या होगा?
Correct answer:सही उत्तर:A
For independent events, the probability of their intersection is \(P(A\cap B)=P(A)\times P(B)\). Thus, \(P(A\cap B)=0.4\times0.7=0.28\). Therefore, 0.28 is correct. The value 0.40 is only \(P(A)\), not the probability that both events occur. Exam tip: When events are independent and the question asks for both events, multiply their probabilities.स्वतंत्र घटनाओं के लिए प्रतिच्छेद की प्रायिकता का नियम \(P(A\cap B)=P(A)\times P(B)\) है। अतः \(P(A\cap B)=0.4\times0.7=0.28\)। इसलिए सही उत्तर 0.28 है। 0.40 केवल \(P(A)\) है, दोनों घटनाओं के साथ होने की प्रायिकता नहीं। परीक्षा सुझाव: प्रश्न में “स्वतंत्र” और “दोनों” हो, तो प्रायिकताओं का गुणा करें।
Google Analytics helps us understand site usage. Microsoft Clarity records usage interactions after analytics consent. Google may send limited cookie-free signals before your choice. The Live Visitors widget operates independently of this analytics choice; see the privacy policy for its provider and fallback details. Essential site features work without analytics cookies. You can change your choice later in Privacy choices. Privacy policy
