You randomly select an integer from 0 to 19 ​(inclusively) and then randomly select an integer from 0 to 49 ​(inclusively). What is the probability of selecting a 13 both​ times?

Haroldo, Xerxes, Regina, Shaindel, Murray, and Georgia  are invited to a dinner party.  They arrive in a random order and all arrive at different times.  What is the probability that Xeres arrives first AND Regina arrives last? Answer in decimal form.  Round to 3 decimal places as needed.

John runs a computer software store. Yesterday he counted 127 people who walked by his store, 58 of whom came into the store. Of the 58, only 25 bought something in the store. For each of the following questions, answer using probability notation. Estimate the probability that a person who walks by the store will enter the store.

Find the probability expression

Find the probability: You land on a red space when playing roulette. There are 18 red spaces, 18 black spaces, and 2 green spaces.

A student randomly guesses at 7 multiple choice questions.  Each question has five possible answers.  What is the probability that the student gets exactly 3 correct answers?

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.

When choosing 5 cards from a standard deck of cards, what is the probability you get exactly 4 card are diamonds?  Enter numeric values for each: Numerator and Denominator