![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](https://www.gkseries.com/blog/wp-content/uploads/2023/08/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.jpg)
Q. 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
Ans: 0.25
Sol:
Given that
0 ≤ x ≤ 10
0 ≤ y ≤ 20
p {x + y ≥ 20} = ?
Required probability = Area of right angled triangle ABC/Area of rectangular region OABD
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