$\"\"$

The number of tickets are sold $\"\"$ .

The cost of each ticket is $\"\"$ .

Construct a probability distribution for the possible net gains.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Gain $\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
Probability $\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

The expected value means that the average loss for someone purchasing a ticket is $\"\"$ .

$\"\"$

The expected value is $\"\"$ .