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Class 12 Maths Chapter 13 Probability: NCERT Solutions

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What is the main purpose of providing NCERT Solutions for Class 12 Maths Chapter 13?

• To help students understand problem-solving methods related to Probability (correct)
• To teach complex calculus concepts
• To introduce advanced statistics principles
• To explore graph theory concepts
• What is the focus of Chapter 13 of NCERT Class 12 Maths?

• Geometry
• Probability (correct)
• Trigonometry
• Algebraic Equations
• What do students learn in detail in Chapter 13 of Class 12 Maths?

• Algebraic Expressions
• Coordinate Geometry
• Probability (correct)
• How can the NCERT Solutions for Class 12 Maths Chapter 13 help students?

<p>By repeatedly solving questions to understand the problem-solving method for Probability</p> Signup and view all the answers

In the given scenario, find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

<p>1/18</p> Signup and view all the answers

Given P(E) = 0.6, P(F) = 0.3, and P(E ∩ F) = 0.2, find P(E|F).

<p>0.4</p> Signup and view all the answers

If a family has two children, what is the conditional probability that both are girls given that the youngest is a girl?

<p>1/2</p> Signup and view all the answers

Compute P(A|B), if P(B) = 0.5 and P(A ∩ B) = 0.32.

<p>0.28</p> Signup and view all the answers

If P(A) = 0.8, P(B) = 0.5, and P(B|A) = 0.4, find P(A ∪ B).

<p>0.8</p> Signup and view all the answers

Evaluate P(A ∪ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5.

<p>$\frac{7}{13}$</p> Signup and view all the answers

If P(A) = 6/11, P(B) = 5/11, and P(A ∪ B) = 7/11, find P(B|A).

<p>$\frac{3}{11}$</p> Signup and view all the answers

A fair die is rolled. Find P(E|F), where E = {1,3,5}, F = {2,3}.

<p>$\frac{1}{3}$</p> Signup and view all the answers

Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.

<p>$\frac{1}{6}$</p> Signup and view all the answers

In a family with two children, what is the conditional probability that at least one is a girl given that at least one is a boy?

<p>1/2</p> Signup and view all the answers

Study Notes

Conditional Probability

• The main purpose of providing NCERT Solutions for Class 12 Maths Chapter 13 is to assist students in understanding conditional probability concepts.
• Chapter 13 of NCERT Class 12 Maths focuses on conditional probability, which is a measure of the probability of an event occurring given that another event has occurred.
• In this chapter, students learn in detail about conditional probability, including the concept of conditional probability, properties, and applications.

Conditional Probability Formulas and Examples

• The conditional probability formula is P(E|F) = P(E ∩ F) / P(F), where E and F are events.
• To find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5, use the formula and plug in the given values.
• If P(E) = 0.6, P(F) = 0.3, and P(E ∩ F) = 0.2, then P(E|F) = P(E ∩ F) / P(F) = 0.2 / 0.3 = 2/3.
• In a family with two children, the conditional probability that both are girls given that the youngest is a girl can be found using the formula.
• Compute P(A|B), if P(B) = 0.5 and P(A ∩ B) = 0.32, using the formula.
• If P(A) = 0.8, P(B) = 0.5, and P(B|A) = 0.4, find P(A ∪ B) using the formula.
• Evaluate P(A ∪ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5.
• If P(A) = 6/11, P(B) = 5/11, and P(A ∪ B) = 7/11, find P(B|A) using the formula.

More Examples and Applications

• A fair die is rolled, and the conditional probability of event E occurring, given that event F has occurred, can be found using the formula.
• Find P(E|F), where E = {1,3,5}, F = {2,3}.
• The conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4, can be found using the formula.
• In a family with two children, the conditional probability that at least one is a girl given that at least one is a boy can be found using the formula.

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Access free PDF download of NCERT Solutions for Class 12 Maths Chapter 13 Probability. Understand the concept of probability and the chance of occurrence of an event through detailed explanations and solved examples.

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