Question

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. 0.33
• B. 0.25
• C. 0
• D. 0.50

Answer 1

The correct option is B 0.25



$\text{Probability}(x+y>20)=\frac{\frac{1}{2}\times 10\times 10}{20\times 10}$

$=\frac{1}{4}=0.25$