Country A and its neighboring Country B are very competitive, both claiming that a higher percentage "smart" people.So an experiment is conducted.A "smart" test is given to random samples in each country.Here are the results...

Total Tested Number who were "smart"

Country A 100 80

Country B 100 85

Based on these samples, Country B claims superiority.A social media frenzy ensues!

For the purposes of this problem, assume that Country A and Country B actually have the same percentage of smart people, and that the results above -- seeming to favor Country B -- were just a result of random differences in sampling.

Under that assumption, if the experiment were conducted again (100 new randomly selected people from each country), find the probability that Country B would once again "win" by 5% or more.

Round to three decimal places, for example0.286