Conditional Probability - Values given
Last updated at August 5, 2026 by Teachoo
Transcript
Ex 13.1, 4 Evaluate P(A āŖ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5Given, 2P(A) = P(B) = 5/13 Now, 2 P(A) = 5/13 ā“ P(A) = 1/2 Ć 5/13 = š/šš And, P(B) = 5/13 Now, P(A|B) = (š(š“ ā© šµ))/(š(šµ)) š/š = (š·(šØ ā© š©))/(š/šš) "P(A ā© B)" = 2/5 Ć 5/13 "P(A ā© B)" = š/šš Also, "P(A"āŖ"B)" = P(A) + P(B) ā "P(A ā© B)" = 5/26 + 5/13 ā 2/( 13) = 5/26 + 3/13 = 5/26 + 6/26 = šš/šš ā“ "P(A "āŖ" B)" = šš/šš