A local club plans to invest $$10000$ to host a baseball game. They expect to sell tickets worth $$15329.$ But if it rains on the day of game, they won't sell any tickets and the club will lose all the money invested. If the weather forecast for the day of game is $20\%$ possibility of rain,what is the expected value of investing in the baseball game?

Rain

No Rain

Probability

Leave money in bank

Invest in Baseball game

$10000$

$10000$

$0$

$15329$

Answer format: Number: Round to: $1$ decimal places.