If 40 people get the chance to pick a card from a canister that contains 5 free passes to an amusement park mixed in with 35 blank cards what is the probability that the 40th person who picks will win?	Choose the correct option.
A) 35/175 B) 36/175 C) 38/175 D) 39/175 E) 40/175
35 - lose, 5 - win   Pick 5 people to win =&gt; 40C5 = total number of outcomes.   Favorable outcome is : First pick the 40th person, then pick any other 4.   =&gt; 1*40C4   So, probability = 40C5 / 40C4   = 40!*36!*4! / (35!*5!*40!)   = 36/(35*5)   = 36 / 175   ANSWER:36/175
<result>B</result>
If 40 people get the chance to pick a card from a canister that contains 5 free passes to an amusement park mixed in with 35 blank cards what is the probability that the 40th person who picks will win?