Hi, I'm a producer on a big (US) Radio station. I'm developing a new competition, but I need help with the probability...
The game is simple (although some details are changed here for obvious reasons!) We have an amount of cash in a case... all you have to do is tell us how much is in there to win it.
It's definitely over $20,000 and to win you must guess the EXACT amount in dollars and cents (i.e. $36,745.36) so it's seven digits. After each guess we will reveal whether the amount is HIGHER or LOWER.
What's the average amount of guesses it will take for someone to guess the amount?
Once I have the probability I can work out how big we can make the prizes! Your help is MUCH appreciated!
Thanks.
G
The game is simple (although some details are changed here for obvious reasons!) We have an amount of cash in a case... all you have to do is tell us how much is in there to win it.
It's definitely over $20,000 and to win you must guess the EXACT amount in dollars and cents (i.e. $36,745.36) so it's seven digits. After each guess we will reveal whether the amount is HIGHER or LOWER.
What's the average amount of guesses it will take for someone to guess the amount?
Once I have the probability I can work out how big we can make the prizes! Your help is MUCH appreciated!
Thanks.
G