A certain carnival game consists of a spinner with 30 sectors with various payoffs. Two of the sectors win $10, five of them win $5, ten of them win $2, nine of them win $1, and the rest are losers. How much should the carnival charge to play this game?

Question

anonymous · Answer

You need to count the average profit of the game. 
1/30 chance to hit one sector. 
2 sectors are 10 that means 2/30 *10 dollar
5 are 5 so 5/30*5
10/30*2
9/30*1 
add these
(20+25+20+9)/30=74/30 that is a bit less than 2.50dollars,

So the carnival need to charge at least 2.50 for a ticket to make profit.

anonymous · Answer

Thanks!