The bullseye accounts for about 1% of the dartboard.
The probability of hitting a bullseye will be 0.01.
The expected number of times that the dart will hit the bullseye can be calculated using the formula:

where x is the number of times the dart hits the target.
Therefore, for 270 times, the expected number of times the bullseye will be hit will be:

Approximately, the bullseye will be hit 3 times.