Originally Posted by

**ibetan** Aki is a participant

on a trivia-based game show. He has an

equal likelihood on any given trial of being

asked a question from one of six categories:

Hollywood, Strange Places, Number Fun,

Who?, Having a Ball, and Write On! Aki

feels that he has a 50/50 chance of getting

Having a Ball or Strange Places questions

correct, but thinks he has a 90% probability

of getting any of the other questions right. If

Aki has to get two of three questions

correct, what are his odds of winning?