Exercise 13.1: Probability NCERT Solutions | Mathematics (Maths) Class 12 - JEE PDF Download

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NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
Exercise 13.1                                                                        Page No: 538 
1. Given that E and F are events, such that P (E) = 0.6, P (F) = 0.3 and P (E n F) = 0.2, find P (E|F) and P (F|E). 
Solution: 
 
2. Compute P (A|B), if P (B) = 0.5 and P (A n B) = 0.32 
Solution: 
 
3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find 
(i) P (A n B) 
(ii) P (A|B) 
(iii) P (A ? B) 
Solution: 
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NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
Exercise 13.1                                                                        Page No: 538 
1. Given that E and F are events, such that P (E) = 0.6, P (F) = 0.3 and P (E n F) = 0.2, find P (E|F) and P (F|E). 
Solution: 
 
2. Compute P (A|B), if P (B) = 0.5 and P (A n B) = 0.32 
Solution: 
 
3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find 
(i) P (A n B) 
(ii) P (A|B) 
(iii) P (A ? B) 
Solution: 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
 
 
4. Evaluate P (A ? B), if 2P (A) = P (B) = 5/13 and P (A|B) = 2/5. 
Solution: 
 
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NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
Exercise 13.1                                                                        Page No: 538 
1. Given that E and F are events, such that P (E) = 0.6, P (F) = 0.3 and P (E n F) = 0.2, find P (E|F) and P (F|E). 
Solution: 
 
2. Compute P (A|B), if P (B) = 0.5 and P (A n B) = 0.32 
Solution: 
 
3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find 
(i) P (A n B) 
(ii) P (A|B) 
(iii) P (A ? B) 
Solution: 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
 
 
4. Evaluate P (A ? B), if 2P (A) = P (B) = 5/13 and P (A|B) = 2/5. 
Solution: 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
5. If P (A) = 6/11, P (B) = 5/11 and P (A ? B) = 7/11, find 
(i) P (AnB) 
(ii) P (A|B) 
(iii) P (B|A) 
Solution: 
 
 
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NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
Exercise 13.1                                                                        Page No: 538 
1. Given that E and F are events, such that P (E) = 0.6, P (F) = 0.3 and P (E n F) = 0.2, find P (E|F) and P (F|E). 
Solution: 
 
2. Compute P (A|B), if P (B) = 0.5 and P (A n B) = 0.32 
Solution: 
 
3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find 
(i) P (A n B) 
(ii) P (A|B) 
(iii) P (A ? B) 
Solution: 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
 
 
4. Evaluate P (A ? B), if 2P (A) = P (B) = 5/13 and P (A|B) = 2/5. 
Solution: 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
5. If P (A) = 6/11, P (B) = 5/11 and P (A ? B) = 7/11, find 
(i) P (AnB) 
(ii) P (A|B) 
(iii) P (B|A) 
Solution: 
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
 
Determine P (E|F) in Exercises 6 to 9. 
6. A coin is tossed three times, where 
(i) E : head on the third toss, F : heads on first two tosses 
(ii) E : at least two heads, F : at most two heads 
(iii) E : at most two tails, F : at least one tail 
Solution: 
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NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
Exercise 13.1                                                                        Page No: 538 
1. Given that E and F are events, such that P (E) = 0.6, P (F) = 0.3 and P (E n F) = 0.2, find P (E|F) and P (F|E). 
Solution: 
 
2. Compute P (A|B), if P (B) = 0.5 and P (A n B) = 0.32 
Solution: 
 
3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find 
(i) P (A n B) 
(ii) P (A|B) 
(iii) P (A ? B) 
Solution: 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
 
 
4. Evaluate P (A ? B), if 2P (A) = P (B) = 5/13 and P (A|B) = 2/5. 
Solution: 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
5. If P (A) = 6/11, P (B) = 5/11 and P (A ? B) = 7/11, find 
(i) P (AnB) 
(ii) P (A|B) 
(iii) P (B|A) 
Solution: 
 
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability  
 
 
Determine P (E|F) in Exercises 6 to 9. 
6. A coin is tossed three times, where 
(i) E : head on the third toss, F : heads on first two tosses 
(ii) E : at least two heads, F : at most two heads 
(iii) E : at most two tails, F : at least one tail 
Solution: 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 13 – 
Probability