Let two fair six-faced dice A and B be thrown simultaneously. If E₁ is the event that die A shows up four, E₂ is the event that die B shows up two and E₃ is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true?

(D) E₁, E₂ and E₃ are independent.

(A) E₁ and E₂ are independent.

(B) E₂ and E₃ are independent.

(C) E₁ and E₃ are independent.

Statistics and Probability: JEE Main 2016 Mathematics question

JEE Main 2016 · Session, Shift 1 · Q4942

JEE Main 2016Session, Shift 1MathematicsHardStatistics and Probability258× since 2002

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 · Session, Shift 1 · Q4942

JEE Main 2016Session, Shift 1MathematicsHardStatistics and Probability258× since 2002

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?