The Washington State study reported that each year during the 5-year period 2009-2013 the cancer rate in the state of Washington was 23.6 per 100,000 for people 6-24 years of age. During the period 2009-2013, each year 117,000 people 6 to 24 years of age played in the Washington Youth Soccer Association, with the vast majority playing on crumb rubber synthetic fields.

In the years 2009-2013 there was an average of 37 cancer cases per year among the 117,000 Washington State soccer players age 6-24. If soccer players age 6-24 in Washington State have the same rate of cancer as all people age 6-24 in Washington State, what is the probability of 37 or more cancer cases in 1 year among the soccer players? (Use 2 decimal places).