In the four independent repeated trials, the probability of random event a occurring just once is not greater than the probability of its occurring just twice, then the probability of event a in one trial

In the four independent repeated trials, the probability of random event a occurring just once is not greater than the probability of its occurring just twice, then the probability of event a in one trial

A:
Let the probability of its occurrence be X
The probability that a happens just once is 4 * X
The probability that a happens exactly twice is C (4,2) * x * X
C(4,2)*x*x≥4*x
6*x*x≥4*x
x≥2/3