Sheldon Brown talked about this [0]:
> Skilled cyclists use the front brake alone probably 95% of the time, but there are instances when the rear brake is preferred: slippery surfaces, bumpy surfaces, front flat, broken [front brake]
> When leaning in a turn, traction is shared between braking and turning. Using both brakes together reduces the likelihood that one wheel or the other will skid and dump you. The steeper you lean, the less you can brake, so moderate your speed before a curve. When you are leaning deeply, you need to release the brakes entirely.
> Using both brakes together can cause "fishtailing." If the rear wheel skids while braking force is also being applied to the front, the rear of the bike will tend to swing past the front, since the front is applying a greater decelerating force than the rear. Once the rear tire starts to skid, it can move sideways as easily as forward.
I broke some ribs a couple of years ago on a downhill trail due to fishtailing. I should have dismounted, but I had not realized that the surface had turned from gritty to muddy.