Question 12 (OR 2 nd question)

If P(A) = 0.6, P(B) = 0.5 and P(A|B) = 0.3, then find P(A ∪ B).

Slide32.JPG

Slide33.JPG

  1. Class 12
  2. Sample Papers, Previous Year Papers and Other Questions
Ask Download

Transcript

Question 12 (OR 2nd question) If P(A) = 0.6, P(B) = 0.5 and P(A|B) = 0.3, then find P(A โˆช B). Given, P(A) = 0.6 P(B) = 0.5 & P(A|B) = 0.3 Now, P(A|B) = (๐‘ƒ(๐ด" โˆฉ " ๐ต))/(๐‘ƒ(๐ต)) 0.3 = (๐‘ƒ(๐ด" โˆฉ " ๐ต))/0.5 0.3 ร— 0.5 = P (A โˆฉ B) 3/10 ร— 5/10 = P (A โˆฉ B) 3/10 ร— 5/10 = P (A โˆฉ B) 15/100 = P (A โˆฉ B) 0.15 = P (A โˆฉ B) P (A โˆฉ B) = 0.15 Now, P(A โˆช B) = P(A) + P(B) โ€“ P(A โˆช B) = 0.6 + 0.5 โ€“ 0.15 = 1.1 โ€“ 0.15 = 0.95

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.