Two fair dice A, B thrown.

Question

Two fair dice A, B thrown. $E_1$: A shows 4; $E_2$: B shows 2; $E_3$: sum is odd. Which statement is NOT true?

Accepted Answer

$P(E_1)=P(E_2)=\dfrac16,P(E_3)=\dfrac12$. But $P(E_1\cap E_2\cap E_3)=0$ (since $4+2=6$ is even) $
e P(E_1)P(E_2)P(E_3)$, so all three are not mutually independent.

Solutions · 1