A gambling machine shows one out of five colours, red , orange , yeloow, green and blue. When the machine is working properly, every colour has an equal chance of appearing the colour. And the colour shown at one instant is independent of the colour shown earlier. Calculate the probablity that the machine shows different colours for 5 consecutive times.
the ans is 24/625.
but my working is 0.2^5 = 1/3125
why cant i do in this way? by the way? what is the porper working of getting the ans?