Question

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.

Answer 1

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