A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 3 keys in sequence and at random (possibly with repetition), will strike the first three notes of Beethoven's Fifth Symphony. (Leave your answer as a formula.) Consider a bag containing four red marbles, two green ones, one transparent one, four yellow ones, and three orange ones. How many possible sets of five marbles are there in which none of them are red or green?

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: A children’s game has a spinner that is equally likely to land on any 1 of 4 colors: red, blue,…

A: Given that there are total 4 colors. The probability of landing on red is=14The probability of…

Q: A soccer coach who has 12 children on her team will be playing 7 children at a​ time, each at a…

A: There are total 12 children. We have to pick 7 children from those 12 children.  Since the positions…

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: horse race, eight horses are running. Assume you have purchased a Trifecta ticket. (In Trifecta, the…

A: Here we want to Know possibilities of a Trifecta exist?

Q: Josef is selecting 5 songs to be randomly played between games at a basketball tournament. Each of…

A: The Person J needs to select 5 songs.

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

A:

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: A keyboard has 7 keys: letters A-G. Suppose that a melody is created by playing four random keys.…

A: the 7th key can not be E,F,G. Hence for the 7th key we are left with only 4 choices.

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: A student ran out of time on a multiple choice exam and randomly guessed the answers for two…

A:

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: consider a game of 4×4 Tic-tac-toe in which a player must get four in a row to win. Determine the…

A: To determine the number of 4x4 Tic-tac-toe games that end on turn 7, we need to consider the…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: How many possible combinations are there if there are 6 players and each player can either have 2…

A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: An Olympic final consists of two runners from each of four different countries. An ordered selection…

A: Given Total number of countries in an Olympic final =4 Total number of runners from each country =2…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: Given are five observations for two variables, and y a. Which of the following scatter diagrams…

A: Given data values for observations x and y. We have to fit the regression equation of y on x and…

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: Four cards labeled A,B,C, and D are randomly placed in four boxes labeled A,B,C, and D. Each box…

A: So, Four cards labeled A,B,C, and D are randomly placed in four boxes labeled A,B,C, and D. such…

Q: A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. More drama. A and B…

A:

Q: You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one…

A:

Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: A chess tournament has 16 players. Every player plays every other player exactly once. How many…

A: Consider 16 players competing for a chess tournament with each player competing with the rest of the…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

Q: A certain compact disc player randomly plays each of 10 songs on a CD. Once a song is played, it is…

A: The compact disk randomly plays each of the 10 songs on a CD in such a way that they are repeated…

Q: A group of six friends are playing poker one night, and one of the friends decides to try out a new…

A: The probability is the chance of occurrence of event or observation involve in the sample with equal…

Q: A children's game has a spinner that is equally likely to land on any of 1 of 4 colors:  red, blue,…

A: Given that the spinner has 4 colors:  red, blue, yellow, or green.   The spinner can land on the red…

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given,Total no.of cards=52no.of club cards=13no.of hearts=13

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A: