The variable x takes a value between 0 and 10 with uniform probability distribution. The variable y takes a value between 0 and 20 with uniform probability distribution. The probability of the sum of variables (x + y) being greater than 20 is A. 0.25 B. 0.33 C. 0.50 D. 0

The correct answer is D.

The probability of the sum of variables (x + y) being greater than 20 is 0. This is because the maximum value of x is 10, and the maximum value of y is 20. Therefore, the maximum value of x + y is 30. The probability of any event occurring is equal to or less than 1. Therefore, the probability of the sum of variables (x + y) being greater than 20 is 0.

Option A is incorrect because the probability of the sum of variables (x + y) being greater than 20 is not 0.25.

Option B is incorrect because the probability of the sum of variables (x + y) being greater than 20 is not 0.33.

Option C is incorrect because the probability of the sum of variables (x + y) being greater than 20 is not 0.50.