Question

I have two relative frequencies for the same experiment done twice. A fair coin's been flipped 100 times with 56/100 as the relative frequency of Heads, and 500 more times with 252/500 as the relative frequency of heads.

I'm now being asked the average relative frequency. Shouldn't that just be 306/600? Apparently that one's not right. What am I doing wrong here - I can't see anything about average relative frequency on google?

Answer 1

Even though I agree that 306/600 is a closer estimate to the actual probability of heads, we have to consider another possible interpretation of "average relative frequency", which could be the literal average, namely,
(50/100+252/500)/2
= 251/500.

Have you tried that option?

Answer 2

That one works, thank you! Didn't consider actually getting the average properly, whoops.

Answer 3

You're welcome! Glad that it works out.