I am confused with denotes. A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that she selects the route of four specific​ capitals?​the equation I have came up with is 42/(42-4)!4!

There are 5 red eggs and 9 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is the probability that he eats 2 red eggs?

Among a student group 51% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.

Peter took an MCQ based test. He had not prepared for the test and ended up guessing the answer for each of the MCQ. The test had a total of 10 MCQS. Each MCQ had 5 possible answers for selection. After the test, she is interested in calculating the probability of getting exactly 6 questions correct on this test?

A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50)   What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )

Kim has a bag of 10 white marbles and 15 black marbles. What is the probability that she will choose to marbles that are both the same colour without replacement 

A teacher will pick 1 student at random from 20 for the lead in a play. What is the probability of a student, Jo, of winning?

In a suitcase there are 5 orange, y green, (y+2) grey and 6 yellow pens. Probability of choosing one green pen from the given suitcase is 1/3. What is the sum of the number of green, grey and yellow pens?

I have a bag with 143 M&Ms. I counted 25 RED M&Ms in the bag. The claimed p for RED M&Ms is 13%. What is the probability of selecting the same number of RED M&Ms as I counted in my bag?