Answer
$P(at~least~one~bulb~will~burn~out~in~2~years)=0.39423$
Work Step by Step
The event "at least one bulb will burn out in 2 years" is the complement of "all 100 bulbs will last 2 years". So, we use the Complement Rule (see page 275):
$P(at~least~one~bulb~will~burn~out~in~2~years)=$
$1-P(all~100~bulbs~will~last~2~years)=1-0.60577=0.39423$