Here is an article from Rodale that I think answers your question: Rodale: How Companies Are Coping With Arsenic in Rice.

Arsenic is a poison, but it is also a naturally occurring element, present throughout the Earth's crust in minute qualities. Our bodies are designed to process arsenic, which can pass through the body in a few days. The problem occurs when there are higher concentrations of arsenic in rice or other foods, usually due to pesticide contamination of the soil. And some people eat a lot of rice as a dietary staple.

There are two ways to reduce the total amount of something. One is to choose a sample that contains less, and the other is to be exposed less frequently. Reducing the amount of rice you eat from every day to three days a week or once a week will be the same as eating rice with a lower amount of arsenic.

The fact that we cannot always eliminate toxic exposures is one of the reasons we also need to support our bodies in the ability to detox the chemicals we are exposed to (see my Toxic Free Nutrition website).

Personally, I don't eat rice. Occasionally I use Lundberg Sweet Dreams Brown Rice Syrup in a recipe. This is made from brown rice grown in California by an established organic farm.

I would stay away from cheap off-brand rice and stick with well-known organic brands such as Lundberg.

But it's also OK to just not eat rice at all.

Here are a couple of other links with more information about arsenic in rice.

FDA assessment of arsenic in rice

Lundberg Farms: Understanding Arsenic in Food