Parity tells you whether a given value is even or odd.

「偶性」能告诉你，一个被给定的数还偶数。

If you actually then said, oh, this is a binomial distribution, so the probability that our random variable equals some given value, k.

果你真的说， 哦，这一个二项分布，所的随机变量等于某个给定 k 的概率。

That if I do enough trials that over large samples, the trials would kind of give me the numbers that I would expect given the expected value and the probability and all that.

果对大样本进行足够多的试验，这些试验会给一些数字， 这些数字在给定预期和概率的情况下所期望的。