pronouns - What does the "either" in this sentence mean?

The whole paragraph is like this:

An experiment has three possible outcomes, l, J, and K. The
probabilities of the outcomes are 0.25, 0.35, and 0.40, respectively.
If the experiment is to be performed twice and the successive outcomes
are independent, what is the probability that K will not be an outcome
either time?

I'm not sure about the either in K will not be an outcome either time.

Which of the following is the right meaning?

(1) In any of these two times, K will not be an outcome.

Or

(2) K will not be an outcome in both time, which means, K can be the outcome in one time at most.

The right answer is 0.64, which supports (1), but I suspect it's wrong..

Does anyone have ideas about this?

Answer

Your first answer is correct.

"What is the probability that K will not be an outcome either time?"

By "either time," this question is referring to the possibility of K being an outcome in either one of the two performances; therefore, K cannot be in either of the outcomes with falsifying the answer.