Question

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?

Answer 1

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
`((1)/(2)) ^(20) = (1^(20))/(2^(20)) = (1)/(1048576)`