Question

A और B दो घटनाएँ इस प्रकार हैं कि P(A) = 0.54, P(B) = 0.69 और P(A ∩ B) = 0.35 ज्ञात कीजिए:

1. P(A ∪ B)
2. P(A´ ∩ B´)
3. P(A ∩ B´)
4. P(B ∩ A´)

Answer 1

1. P(A) = 0.54, P(B) = 0.69, P(A ∩ B) = 0.35
   P(A ∪ B) = P(A) + P(B) – (A ∩ B)
   = 0.54 + 0.69 – 0.35
   = 0.88
2. P(A’ ∩ B’) = P[(A ∪ B)’] = 1 – P(A ∪ B)
   1 – 0.88
   = 0.12
3. P(A ∩ B’) = P(A) – P(A ∩ B)
   0.54 – 0.35
   = 0.19
4. P(B ∩ A’) = P(B) – P(B ∩ A)
   = 0.69 – 0.35
   = 0.34