> If the markets were truly efficient, randomly picking stocks would beat SPX ~50% of the time. Since markets are not super efficient, basic exposure to performance factors (small cap, value, momentum...) puts you at a fairly high likelyhood of beating SPX.
This assumes that the expected return of a single, randomly-picked stock is symmetrically-distributed. It is not, single stock returns are highly skewed and "lottery like". Index returns come from the fact that a small number of stocks do exceptionally well, while most of them do poorly.
This becomes even worse if we talk about timing: stock returns come from relatively short periods of doing really well, if you miss that because you are out of the market for some reason, you lose out on the vast majority of the index return.
Sorry, I don't have specific sources to cite. This comes from stuff I've picked up listening to the Rational Reminder podcast (https://rationalreminder.ca/podcast-directory), which have very well researched episodes as well as guest interviews with leading academic finance researchers. I'll try to dig up the relevant episodes, which do cite sources.
Edit: here is some sources:
1. https://www.dimensional.com/us-en/insights/singled-out-histo...
2. https://assets.jpmprivatebank.com/content/dam/jpm-wm-aem/glo...
Quote from this last one: "[...] around 40% of
the time a concentrated position in a single stock experienced negative absolute returns, in which case it would have underperformed a simple position in cash. And around 2/3 of the time, a concentrated position in a single
stock would have underperformed a diversified position in the Russell 3000 Index. While the most successful
companies generated massive wealth over the long run, only around 10% of all stocks since 1980 met the
definition of “megawinners”."