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 ?

E_{1}

and

E_{2}

are independent.

E_{2}

and

E_{3}

are independent.

E_{1}

and

E_{3}

are independent.

E_{1}

E_{2}

and

E_{3}

are independent.

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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 ?

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Question Text

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 ?

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