Fortunately, gonorrhea, chlamydia, and syphilis are bacterial infections that can be cured when diagnosed properly. Yet, genital herpes is a virus that, while treatable, is incurable. "The CDC estimates that, annually, 776,000 people in the United States get new herpes infections. Genital herpes infection is common in the United States. Nationwide, 16.2%, or about one out of six, people aged 14 to 49 years have genital HSV-2 infection. Over the past decade, the percentage of persons with genital herpes infection in the United States has remained stable."http://www.cdc.gov/std/herpes/STDFact-Herpes.htmSuppose that a person has three sexual partners from within the 14-49 age group and suppose that all people in that age group are equally likely carriers of genital herpes.

Determine the empirical probability that Partner 1 and Partner 2 and Partner 3 is a genital herpes carrier. Enter your answer a decimal rounded to three decimal place. Do not enter the percent (%) symbol.