Two non-simultaneous events have an equal likelihood of occurring (50%). if the events are independent of each other, what is the probability that they will both occur?

There are 4 possibilities:

1) No event happens
2) event A happens, not event B
3) event B happens, not event A
4) both events happen

seeing as there is a 50% chance of either event happening, I would assume that all 4 possibilities have an equal chance of happening

so if there are 4 events, then each one is 25% likely.

So the probability if them both occurring is 25%

I think

Probability of getting tails on the first flip: 1/2 (because it's one of two possible outcomes).

Probability of getting tails on two consecutive flips: 1/4 (because it's one out of four possible outcomes- tails tails, tails heads, heads tails, heads heads)

A simpler way of thinking about it is 1/2*1/2, because you already have 1/2 for getting tails the first time, and if getting tails the second time were an independent event then the probability would be 1/3, but since it's getting tails twice you multiply the probabilities.

Either way, the answer is 1/4 (or 25%)