After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. She hasfive-dollar bill, and a ten-dollar bill in her wallet. She pulls one out and looks at it, but then she puts it back. Distracted by a flyer for aorganization, she randomly hands a bill from her wallet to the clerk.Construct a sample space, and find the probability that(a) Both bills have the same value.(b) The second bill is smaller than the first bill.(c) The value of each of the two bills is even.(d) The value of exactly one of the bills is odd.(e) The sum of the values of both bills is less than $5,Write your answers in exact, simplified form.