14 points and brainliest to be awarded, steps needed

permutations

a baseball team has 13 potential batters. how many batting orders of nine players can be made, such that batter a and batter b must bat and be together and in the first four positions?

does this become 11p7 instead of 13p9 due to two batters being required to bat? how does them being together in the first four positions work?

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?

12 out of 30 people chose their favourite colour as blue caculate the angle you would use for blue on a pie chart

(apex) on the planet kudzu, the probability that a bird is green is 0.30. the probability that the bird is green given that the bird is female is 0.30. which statement is true?