Please solve both of them:

1) A dice is rolled. Let us define event A as the set of possible outcomes where the number on the face of the dice is prime and event B as the set of possible outcomes where the number on the face of the dice is odd. P(AUB) = ? [2] 2) Let X & Y are two continuous random variable with joint probability density function: f(x, y) = K - e -(3x+2y) X>0 y>0 2 Find the value of k. [3] Is X & Y independent. [5]