A: place both names in equal amounts into a hat and draw one without looking. b: ask a stranger to flip a coin. c: roll a die and evaluate the outcome as either even or odd. d: throw a stone closest to an object. e: play a hand of blackjack. f: ask a random stranger to select. the methods that are fair include because is flawed due to increased chances of winning based on one's skill, is flawed due to poor randomization, and is flawed due to unequal probabilities of winning and losing. reset next

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?