Repeat Problem 53, except change the stakes to be an A grade in the class if everyone checks the first box, but if anyone checks the second box, the following will occur: Those who check it will have a \(50 \%\) chance of an \(\mathrm{A}\) and a \(50 \%\) chance of an \(\mathrm{F}\) but those who do not check the second box will be given an \(\mathrm{F}\) in this course.