Answer:
The defendant claim is credible. It should be advised that the defendant can pursue his claim of racial bias in jury
Explanation:
Since the county comprises of 50% African-American and 50% Caucasian. If a jury of 8 members are to be selected from the county's people,
The probability of selection of 4 African-American is 4/8(50%) = 1/2
The probability of selection of 4 Caucasian is 4/8(50%) = 1/2.
This above is a binomial probability distributions. It is a probability of two possible outcomes, summing up to equals 1.
Selection of 2 African-American and 6 Caucasian in 8 jury members actually show a racial bias. It does not reflect 50% each proportion and probability.
Probability of African-American Jury selection is 2/8(1/4)
Probability of Caucasian Jury selection is 6/8(3/4)