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Let two fair six-faced dice A and B be t...

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 ? (1) `E_1` and `E_2` are independent. (2) `E_2` and `E_3` are independent. (3) `E_1` and `E_3` are independent. (4) `E_1` , `E_2` and `E_3` are independent.

A

`E_2 and E_3` are independent

B

`E_1 and E_3` are independent

C

`E_1 and E_3` are independent

D

`E_1 and E_2` are independent

Text Solution

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The correct Answer is:
C
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