If 7 people are randomly​ selected, find the probability that no 2 of them have the same birthday. Ignore leap years. The probability that 7 people have different birthdays is

If 9 people are randomly​ selected, find the probability that no 2 of them have the same birthday. Ignore leap years.

Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a marble at random and then replace it in the jar. Find the probability that you select a green marble for the first time on the first or third or fifth attempt.

If a student randomly guesses at 15 multiple-choice questions, find the probability that the student gets at least 1 correct. Each question has 5 possible choices.

Suppose a jar contains 8 red marbles and 23 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.

There are 6 male students and 17 female students in a class.If you choose 2 students at random, find the probability that both are female.Answer with a fraction or give four decimal places.

35% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32 college students are randomly selected, find the probability that exactly 11 of them major in STEM. Round to 4 decimal places.

An exam consists of six true or false questions. Find the probability that a student taking the exam can get 5 or more correct just by guessing.

You pick 100 cards from a deck of cards one at a time.  You select the cards after replacing each card picked and shuffling.  Find the probability that you select at least 8 kings.

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.