A bulb can either be on or off. A board contains 20 bulbs connected to a randomization circuit that lights up a random sequence every time it is turned on. What is the probability that all the lights will be switched on?
The chance that any given bulb is on is equal to 1/2. The chance that all twenty bulbs are on at the same time is [tex] (\frac{1}{2}) ^{20} = \frac{1^{20}}{2^{20}} = \frac{1}{1048576}[/tex]
