Aroulette wheel has 38 spaces: 18 red, 18 black, and 2 green. suppose that in each spin of the wheel, the ball is equally likely to land on any of the 38 spaces, and that spins are independent. the wheel will be spun five times.
the chance that the ball lands on black in all five spins is closest to
a) 0.688%
b) 6.366%
c) 12.044%
d) 17.722%
e) 23.401%

Aline that intersects one of two parallel lines intersects the other also always sometimes never

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?

Which one is the correct answer, and why?