An article in The New York Times, published when the Covid vaccine was fairly new, included the following paragraph:

"30 percent of Americanshave now had the virus, according to Youyang Gu, a data scientist. (That includes many people who have never taken a Covid test.) About 18 percenthave received at least one vaccine shot. There is some overlap between these two groups, which means thatabout 40 percent of Americans now have some protection from Covid."

Based on the author's assumptions, if you choose an American at random what is the probability that the person has both had the virus and has also received at least one vaccine shot?

Give your answer as a decimal, not as a percentage, and include two places past the decimal in your answer