Binomial Variables? AP Stats?
A test for extrasensory perception (ESP) involves asking a person to tell which of 5 shapes- a circle, star, tirangle, diamond or heart- appears on a hidden computer screen. On each trial, the computer is equally likely to select any of the 5 shapes. Suppose researchers are testing a person who does not have ESP and so is just guessing on each trial. What is the probability that the person guesses the first 4 shapes incorrectly but guesses the fifth correct?
the answer is (4/5)^4 * 1/5 but i got (4/5)^4, i sued the binomial theorem with n=5,p=4/5 and k=4

Question

Binomial Variables? AP Stats?
 A test for extrasensory perception (ESP) involves asking a person to tell which of 5 shapes- a circle, star, tirangle, diamond or heart- appears on a hidden computer screen. On each trial, the computer is equally likely to select any of the 5 shapes. Suppose researchers are testing a person who does not have ESP and so is just guessing on each trial. What is the probability that the person guesses the first 4 shapes incorrectly but guesses the fifth correct? 
the answer is  (4/5)^4 * 1/5 but i got (4/5)^4, i sued the binomial theorem with n=5,p=4/5 and k=4

anonymous · Answer

I dont know what i did wrong... id really appreciate some help :D