I don't think you seem to understand. First of all, what I said remains true. None of the three events above are independent of one another.
Another flaw in your argument is to assume a 50% probability of each of those events. Consider a developed economy in an expansion phase. Consumers are spending, prices are rising, and therefore, corporate profits are rising. In this type of market, there is almost certainly going to be companies that will report better than expected profits. Thus, the probability will be greater than 0.5.
If it makes you feel any better, I do agree with you that trading based entirely on predicting news is not practical. However, your statistical arguments are based entirely on incorrect assumptions and imprecise calculations.
Look at the problem this way (like trying to figure out a combination lock with 3 buttons, each button is a binary digit that can be set to either false or true, (1 or 0))
0.5 represents a binary event, think of it like 1 or 0, (true-false statement) (positive or negative as perceived by investors), you have 2^3= 8 possible combinations, and you pick 1, probability of success of opening the lock is
= 1/8 = 0.125
and yes, my calculations assume that you are in the market already with an open trade, prior to report release time.
I know why you say not independent, but you really have to guess one out of 8, except in cases where last month's report and analsysts' expectation happens to be equal, still gets no better than 25%
have you seen the market rally sharply prior to a report, then upon release of the report it can do its own thing down /stay flat /up. it rallies on anticipation based on one of the 3 binary possibilities, and no matter what happens next, the people on TV will find a way to justify it.
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