A particle is placed in a one-dimensional box of size L along the X-axis, (0 < x < L). Which of the following is true?

In the ground state, the probability of finding the particle in the interval $$\left(\frac{L}{4},\frac{3L}{4}\right)$$  is half

In the first excited state, the probability of finding the particle in the interval $$\left(\frac{L}{4},\frac{3L}{4}\right)$$  is half This also holds for states with n = 4, 6, 8, . . . .

In the ground state, the particle has a definite momentum