Find P(Y < 3X) with X and Y uniformly distributed

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X and Y are independent continuous random variables, with X uniformly distributed on the interval [0, θ] and Y uniformly distributed on the interval [0, 2θ].

Find P(Y < 3X).

Options -

  1. 1/6
  2. 1/3
  3. 1/2
  4. 2/3