Different amounts can be won on a wheel of fortune. These profits are shown in the table.[br]Calculate the expected profit.[br][br][i]Hint: The individual sectors are [color=#0000ff][b]1/3[/b][/color], [color=#45818e][b]1/4[/b][/color], [color=#ff0000][b]1/6[/b][/color], [color=#ff7700][b]1/8[/b][/color], [color=#999999][b]1/12[/b][/color] and [color=#ffe599][b]1/24[/b][/color] of the circular area.[/i]