Consider a jury trial, it takes 8 out of the 12 jurors to convict the defendant; that is, in order for the defendant to be convicted at least 8 of the jurors must vote him guilty. if we assume that jurors act independently and that whether or not the defendant is guilty, each makes the right decision with probability, p = 0.7. given that a defendant is equally likely to be guilty or not guilty. what is the probability that the jury renders a correct decision.
