A quadratic polynomial (𝑥 − 𝛼)(𝑥 − 𝛽) over complex numbers is said to be…

A quadratic polynomial (𝑥 − 𝛼)(𝑥 − 𝛽) over complex numbers is said to be square invariant if (𝑥 − 𝛼)(𝑥 − 𝛽) = (𝑥 − 𝛼2 )(𝑥 − 𝛽2 ). Suppose from the set of all square invariant quadratic polynomials we choose one at random.

The probability that the roots of the chosen polynomial are equal is __________. (rounded off to one decimal place)