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 and $E_3$ is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true $?$
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 and $E_3$ is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true $?$
- [JEE MAIN 2016]
- A
$E_1 $ and $E_3 $ are independent.
- B
$E_1 , E_2$ and $E_3 $ are independent.
- C
$E_1$and $E_2$ are independent.
- D
$E_2 $ and $E_3 $ are independent.
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