class 12

Math

Algebra

Probability I

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.