Quantum State Probability: Finding the Likelihood of Obtaining |0i

To find the probability of obtaining state |0i, we need to find the coefficient of |0i in the given quantum state |ψi.

The given quantum state is |ψi = √(1/5)|1i + √(2/5)|0i.

The coefficient of |0i is √(2/5).

Therefore, the probability of obtaining state |0i is (|√(2/5)|)^2 = (2/5) = 0.4

So, the probability of obtaining state |0i is 0.4 or 40%.