Let two fair six-faced dice A and B be thrown simultaneously. If E_1 is the event that die A shows up four, E_2 is the event that die B shows up two…

Let two fair six-faced dice $\displaystyle A$ and $\displaystyle B$ be thrown simultaneously. If $\displaystyle E_1$ is the event that die $\displaystyle A$ shows up four, $\displaystyle E_2$ is the event that die $\displaystyle B$ shows up two and $\displaystyle E_3$ is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true ?