Two ordinary fair dice are thrown and the numbers obtained are noted. Event S is ‘The sum of the numbers even’. Event T is ‘The sum of the numbers is either less than 6 or a multiple of 4 or both’. Determine whether S and T are independent?
So I know that:
And for independent events we use: $P(S \cap T) = P(S)P(T)$
When I check my answer with the mark scheme it’s incorrect and the answer in the MS for $P(S \cap T)$ is $10/36$.
I’m not sure which part I’m doing wrong...I would be grateful if you could give a detailed answer for calculating the independent events part.