The phrase "a small risk that" is correct and usable in written English.
It can be used when discussing the possibility of a negative outcome or event occurring, typically in a context involving uncertainty or caution.
Example: "There is a small risk that the project may not meet the deadline due to unforeseen circumstances."
Alternatives: "a slight chance that" or "a minor possibility that".
"There is a small risk that he will fall into a lake.
The New York Police Department has ordered that the handguns carried by most officers be refurbished because of a small risk that they might jam.
The spray gives a stronger immune reaction but carries a small risk that the virus will multiply too quickly in people with compromised immunity.
There is a small risk that companies can seem out of touch by asking the MySpace generation to play with their parents' (or grandparents') taglines.
Other administration officials asserted that Mr. Bush was right to force the issue at this time because Mr. Hussein's intentions were uncertain, and that even a small risk that Iraq's weapons might fall into the hands of terrorists was unacceptable.
It found that radiation-induced mutation in sperm and eggs is such a small risk "that it has not been detected in humans, even in thoroughly studied irradiated populations such as those of Hiroshima and Nagasaki".
Bang your heads, metal fans -- just be aware that there's a very small risk that it could lead to one of the most hardcore rock injuries of all time: bleeding in the brain.
If the protection of patient privacy is to remain a primary goal, then the small risk that individual patients could be identified must be weighed against the overall public health gains.
"People would rather pay less for oil and take the small risk that there may be a small spill," Adam said.
Kids take greater risks later because they never took the small risks that taught them acceptable risk taking.
Barring terrorist attacks and transport disasters (not a small risk, given that the organisers are relying on public transport) the games should reinforce the city's sense that it is on top of the world.Yet London's position is more precarious than it feels.
