I have run 1,000,000 experiments. Each experiment consists of 5 trials with binary outcomes, either $L$ (for left) or $R$ (for right).

However, I'm not going to tell you how I've picked my experiments. Maybe I'm just flipping a fair coin each time. Maybe I'm using a biased coin. Or maybe I'm doing something completely different, like dropping a bouncy ball down a mountain and checking whether it hits a red rock or a white rock first--and different experiments are conducted on different mountains. I might be doing some combination of all three.

You do get one guarantee, though: All the experiments are Bernoulli processes. In particular, the order of the trials is irrelevant.

Your goal is to guess the marginal frequencies of the fifth trial. For each $k = 0, 1, \dots, 4$, you need to tell me the frequency that the fifth trial is an $R$ given that $k$ of the outcomes of the first four trials are $R$.

For example, if every experiment is just flipping a fair coin, then the fifth trial will be an $R$ with probability $1/2$, no matter what the first four are. However, if I'm using biased coins, then the frequency of $R$ will increase the more $R$s seen.

To help you in your guessing, I have provided a csv of all the public trials.

Note that I haven't yet looked at the frequencies myself, but I will do so shortly after posting this. In the interest of fairness, I will not be trading on this market.

Resolution Criterion: The market will resolve each answer to a partial % equal to the true frequency.