Memory Based GATE DA 2024 | Question: 14

Answer 1

P(T) = 0.4 => P(T') = 0.6

P(S|T) = P(S intersection T)/P(T) => 0.3 = P(S intersection T)/0.4 => P(S intersection T) = 0.12

P(S|T') = P(S intersection T')/P(T') => 0.6 = P(S intersection T')/0.6 => P(S intersection T') = 0.36

P(S) = 0.12+0.36 = 0.48

P(T|S) = P(S intersection T)/P(S) = 0.12/0.48 = 0.25