At a local high school, 95 students have permission to park on campus. Each month, the student council holds a "golden ticket parking lottery." The three lucky winners are given reserved parking spots next to the main entrance. Last month, the winning tickets were drawn by a student council member who is in Mr. Wilder's statistics class. When all three golden tickets went to members of that class, some people thought the lottery had been rigged. There are 30 students in the statistics class, all of whom are eligible to park on campus.

(a) Use combinations to find the probability that a fair lottery would result in all three golden tickets going to members of Mr. Wilder's statistics class.

Probability =

round your awnser to 3 decimal places