As 'n' increases

[kenhung123]

When the sample size increases, does the probability (e.g. event X) always increase in the case of binomial distributions?

[the.watchman]

I don't really get your question, but the individual probability of the event occurring will not change.
The probability that the event will not happen at all will decrease, as will the probability that the event will happen in all instances. However, the rest may increase or decrease I think, or maybe only decrease, I'm not too sure

[kenhung123]

Like the probability of 4 heads, as n increases

[the.watchman]

Think about it, sure it would increase from when n=4 to n=8, but after that, say, when n=100, the probability would be back down again right?

[kenhung123]

I'm actually doing questions about sample size and I don't know whether to round up or down sometimes because I don't know if it would increase or decrease the probability and may not satisfy the inequality.