(09.02) Jack rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 8, given that the first roll is a 4? (1 point) Group of answer choices
A. 1/2
B. 1/6
C. 1/3
D.5/6

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?