Ball Box Probability Problem | JEE Advanced 2026 PYQ | Conditional Probability & Independent Events

Conditional Probability | Independent Events | Dependent Events | Probability | JEE Advanced 2026 PYQ | JEE Main | CBSE Class 12 Maths Learn Conditional Probability, Independent Events, Dependent Events, Probability Theory, and JEE Advanced Problem Solving through a beautiful Ball Box Problem from JEE Advanced 2026. 🎯 Does Additional Information Change Probability? Ball Box Problem | JEE Advanced 2026 PYQ | Conditional Probability & Independent & Dependent Events A random ball is selected. Then a hidden piece of information is revealed. "The selected ball came from Box I." Now the real question begins... Does this additional information change the probability? Or does the probability remain exactly the same? In this video, we use a beautiful JEE Advanced 2026 PYQ to develop a deep understanding of Conditional Probability, Independent Events, and Dependent Events through visualization, intuition, and mathematical reasoning rather than formula memorization. Problem- Q.5 Suppose that Box I contains 6 red balls and 9 green balls, and Box II contains 8 red balls and 12 green balls. All the balls of Box I and Box II are mixed together and a ball is chosen at random from them. Let E₁ be the event that the ball chosen belonged to Box I and let E₂ be the event that the ball chosen belonged to Box II. Let F₁ be the event that the ball chosen is red and let F₂ be the event that the ball chosen is green. Then, which of the following statements is (are) TRUE? (A) The events E₁ and F₁ are independent. (B) The events E₂ and F₂ are dependent. (C) The conditional probability P(F₁ | E₁) is equal to the conditional probability P(F₁ | E₂). (D) The conditional probability P(F₁ | E₁) is greater than the conditional probability P(F₂ | E₂). (JEE Advanced 2026) ━━━━━━━━━━━━━━━━━━━━━━ 📚 Probability Concepts Covered ✅ Sample Space ✅ Events ✅ Favourable Outcomes ✅ Classical Probability ✅ Mutually Exclusive Events ✅ Exhaustive Events ✅ Complementary Events ✅ Conditional Probability ✅ Independent Events ✅ Dependent Events ✅ Multiplication Rule of Probability ✅ Information and Probability ✅ Event-Based Thinking ✅ JEE Problem Solving Strategy ━━━━━━━━━━━━━━━━━━━━━━ 🎯 Useful For ✔ JEE Advanced 2027 ✔ JEE Advanced 2028 ✔ JEE Main 2027 ✔ JEE Main 2028 ✔ CBSE Class 12 Mathematics ✔ State Board Class 12 Mathematics ✔ BITSAT ✔ IISER Aptitude Test ✔ NDA ✔ CUET ✔ Olympiad Students ✔ Any Student Learning Probability ━━━━━━━━━━━━━━━━━━━━━━ 🚀 About Integron Our Mission is simple: To make Mathematics intuitive, visual, and concept-driven. No shortcuts. No rote memorization. Only deep understanding. Our Goal: To build one of the most trusted and concept-driven JEE Mathematics channels for serious learners over the next two years. 📈 Every lecture is designed to help you: • Understand the concept • Visualize the mathematics • Build problem-solving intuition • Crack JEE Advanced with confidence ━━━━━━━━━━━━━━━━━━━━━━ 🔥 Subscribe to Integral if you love: ✔ JEE Advanced Mathematics ✔ JEE Main Mathematics ✔ Probability ✔ Algebra ✔ Calculus ✔ Coordinate Geometry ✔ Trigonometry ✔ Mathematical Thinking ✔ Deep Conceptual Learning ━━━━━━━━━━━━━━━━━━━━━━ 👍 Like the video 💬 Comment your approach 🔄 Share with your friends 🔔 Subscribe to Integron ━━━━━━━━━━━━━━━━━━━━━━ #JEEADVANCEDPYQS #JEEMAINS2027 #JEEADVANCED2027