Assume that random guesses are made for 3 multiple-choice questions on a test with 2 choices for each​ question, so that there are n=3 trials, each with probability of success​ (correct) given by p=0.50. Find the probability of no correct answers.

A multiple choice exam has 10 questions with 5 answer choices for each question. Only one choice is correct for each question. A student makes random guesses on all 10 questions. Find the probability that he will answer 4 questions correctly.

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X= the number of shots that scored points.   Find the probability that DeAndre scored with more than 50 of these shots.

Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?