Geometric probability | One, two and three dimension | Introduction & examples (Timestamp details)

Geometric probability | One, two and three dimension | Introduction & examples

0:00 One dimensional geometric probability
Example 1: If x is a real number chosen randomly from [-5,5] what is the probability that x^2-x-2 is less than 0

3:13 Two dimensional geometric probability
Example 2: A square S has side length 30. A standard 20-sided die is rolled and a square T is constructed inside S with side length equal to the roll. Then a dart is thrown which lands somewhere in S. Find the probability that dart lands inside the square T?

7:50 Three dimensional geometric probability
Example 3: Alex, Bob and Charlie each pick a real number between [0,1]. What is the probability that the sum of the squares of their numbers is less than 1. Support the channel:

[shaktimaan]

Thanks for introducing 3D probability, really nice concept