In a homicide case 33 different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all 33 witnesses would pick the same person. round to seven decimal places.

the correct question in the attached figure

we know that

the probability
that a witness picks a particular person by chance-----> P=1/5

the probability
that all 7 witnesses would pick the same person-----> P=1/5^7=0.0000128

the answer is the option B 0.0000128

There are a variety of problems in which the number of witnesses change, for example
....find the probability that all 9 witnesses would pick the same person

in this case, the probability would be-------> P=1/5^9=0.000000512