jee-main 2016 Q77

jee-main · India · 03apr Independent Events

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 dice $A$ and $B$ is odd, then which of the following statements is NOT true? (1) $E_1$ and $E_3$ are independent. (2) $E_1$, $E_2$ and $E_3$ are independent. (3) $E_1$ and $E_2$ are independent. (4) $E_2$ and $E_3$ are independent.

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 dice $A$ and $B$ is odd, then which of the following statements is NOT true?
(1) $E_1$ and $E_3$ are independent.
(2) $E_1$, $E_2$ and $E_3$ are independent.
(3) $E_1$ and $E_2$ are independent.
(4) $E_2$ and $E_3$ are independent.

Paper Questions

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