My example:

Number of Trials 6

Number of Successes 2

Prob of success on one trial: 75.8%

Binomial probability output: 2.95%

Out of my remaining 4 failed trials (6 total trials - 2 number of successes):

Number of trials 4

Number of successes 1

Prob of success on one trial: 69.15%

Binomial Probability output:27.31%

On the remaining four trials, is it valid to assume the binomial probability is now out of four? or should it be out of the total 6?

Out of the total 6 trials, 1 success at the 69.15% prob success on one trial, the binomial probability output is 6.5%. Is this more accurate? or is all of this wrong?