10 students are in a row and randomly assigned numbers 1-10.  (a) What is the probability that Anna, Nana, and Hannah have consecutive numbers? (b) What is the probability that Lily and Lola do NOT have consecutive numbers?

The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a​ three-digit number. ​ (Digits are not​ repeated.) Find the probability that the number is even and greater than 800.

 Mr. Coppage finds a pencil pouch contains old markers. He opens the pouch and find six red markers or blue markers, three green markers, two orange markers and five purple markers.  What is the probability Mr. Coppage picks a red marker returns it and pick then pics of the orange marker

Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various combinations. When all dice show the same number, it’s called Yahtzee and scores 50 points for the first one and 100 points for each successive Yahtzee in the game. a. What is the probability that a person throws a Yahtzee on the very first roll? b. What is the probability that a person throws two Yahtzees on two consecutive rolls?

In the game of keno, if eight spots are marked the player wins if five or more of their spots are selected.  What is the probability of 8 winning spots?  probability of 7 winning spots?  probability of 6 winning spots?  probability of 5 winning spots?  probability of less than 5 winning spots?

Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the probability that you get both heads and tails.(a) How many different outcomes can you get?(b) How many different outcomes contain both heads and tails?(c) What is the probability that you got both heads and tails?

A quiz has five "Yes-No" questions. A student decided to randomly guess the answer to each question. (a) What is the probability that the students get exactly three questions correct? (b) Each question in the quiz is worth one point and the passing score of the quiz is three. What is the probability that the student passes the quiz?

What is the probability of flipping a penny and a nickel and obtaining one head and one tail?

A teacher is making a student list for her field trip. She has decided to select a total of 10 students. She has 9 boys and 11 girls. What is the probability that 5 of the selected guests are boys? Show steps and solution.