You have been invited to a birthday party. 35 people in total will be at the party.
There will be 3 types of cake to choose from, for dessert: chocolate cake (which 14 people prefer), vanilla cake (which 11 people prefer), or ice cream cake (which 10 people prefer). Before the party, the host wants to know how much of each cake to buy so they call 10 of the guests to ask them what type of cake they would prefer.
What is the probability (in percentage rounded to the nearest percent) that at least 4 of the guests she calls want to eat ice cream cake.
