Conditional Probability - Values given
Last updated at August 13, 2026 by Teachoo
Transcript
Ex 13.1, 3 If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find (i) P(A โฉ B)Given P(A) = 0.8 , P(B) = 0.5 & P(B|A) = 0.4 Now, P(B|A) = (๐(๐ต โฉ ๐ด))/(๐(๐ด)) 0.4 = (๐ท(๐จ โฉ ๐ฉ))/(๐. ๐) P(A โฉ B) = 0.4 ร 0.8 P(A โฉ B) = 0.32 Ex 13.1, 3 If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find (ii) P(A|B)P(A|B) = (๐(๐ด โฉ ๐ต))/(๐(๐ต)) = (๐.๐๐)/(๐.๐) = 32/50 = 0.64 Ex 13.1, 3 If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find (iii) P(A โช B)P(A โช B) = P(A) + P(B) โ P(A โฉ B) = 0.8 + 0.5 โ 0.32 = 1.3 โ 0.32 = 0.98