Maths ncert Class 12 Chapter 12

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 ∩ F) = 0.2, find P (E|F) and P (F|E)

Solution:

NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 1

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

Solution:

NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 2

3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find
(i) P (A ∩ B)

(ii) P (A|B)

(iii) P (A ∪ B)

Solution:

NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 3
NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 4
NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 5

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 Image 6
NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 7

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

(ii) P (A|B)

(iii) P (B|A)

Solution:

NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 8
NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 9
NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 10
NCERT Solutions for Class 12 Maths Chapter 13 Probability Image 11

Determine P (E|F) in Exercises 6 to 9.

6. A coin is tossed three times, where
(i) E : head on 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

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ट्रेन के बीच में ही AC कोच क्यों लगाए जाते हैं? गर्मी में लू लगने से बचाव करेंगे यह खाद्य पदार्थ, आज ही खाना करें शुरू Rbse books for class 1 to 12 hindi medium 2021-22 Patio umbrellas sold at Costco recalled after reports of fires