A coin is flipped 8 times in a row (assume all outcomes are equally likely). For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. Q1.3 What is the probability that it lands on heads more often than tails?
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- Correct answer will be upvoted else downvoted. Computer science. After painting the white cells of the board, you want to place the maximum number of dominoes on it, according to the following rules: each domino covers two adjacent cells; each cell is covered by at most one domino; if a domino is placed horizontally (it covers two adjacent cells in one of the rows), it should cover only red cells; if a domino is placed vertically (it covers two adjacent cells in one of the columns), it should cover only blue cells. Let the value of the board be the maximum number of dominoes you can place. Calculate the sum of values of the board over all 2w possible ways to paint it. Since it can be huge, print it modulo 998244353. Input The first line contains two integers n and m (1≤n,m≤3⋅105; nm≤3⋅105) — the number of rows and columns, respectively. Then n lines follow, each line contains a string of m characters. The j-th character in the i-th string is * if the j-th cell in the i-th row…Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))A video player plays a game in which the character competes in a hurdle race. Hurdles are of varying heights, and the characters have a maximum height they can jump. There is a magic potion they can take that will increase their maximum jump height by unit for each dose. How many doses of the potion must the character take to be able to jump all of the hurdles. If the character can already clear all of the hurdles, return . Example The character can jump unit high initially and must take doses of potion to be able to jump all of the hurdles. Function Description Complete the hurdleRace function in the editor below. hurdleRace has the following parameter(s): int k: the height the character can jump naturally int height[n]: the heights of each hurdle Returns int: the minimum number of doses required, always or more Input Format The first line contains two space-separated integers and , the number of hurdles and the maximum height the character can jump naturally.The…
- "You have been asked to create a guessing game with four players. The players will be asked to guess which word will be selected next and earn points for each correct guess." The game works as follows: First: At the start of the game: Each of the four players is asked to enter their name and the amount of money they wish to bet on the game (only positive values less than $100 are allowed). The total of all four bets is the price money for the game. •The players will be asked to select which set of words they wish to use for the game. The options are: Fruit Colors Animals Each set of words must have at least seven options (You may choose your own words for each set). Once the players select a set of words the computer will display the full list of options. For example: You have selected the Fruit word set. The possible words are: Apple, Orange, Banana, Kiwi, Strawberry, Grape, Cherry Second: Each game will consist of seven rounds. Each round goes as follows: Each player is…True or False? The expression ! (x > 0) is true only if x is a negative number.Simulate the dice game of lucky sevens. The rules are: roll two dice if the sum equals 7, win $4 if the sum is not 7, lose $1 Write a program that asks the user how much they would like start the game with. The program should then: simulate the dice roll (using the random function) and show what was rolled show what the user’s funds are after each roll ask the user if they want to roll again if the user wants to roll again, repeat the three actions above if the user does not want to roll again give some response and end the game the final output should show if they won or lost money, and how many rolls they played
- Write a game of rock paper scissors, one of the choices will be from the user and the other from the computer (use random) Print results for each game.Play the games in a row until you exit the game. Explain each step as comment.Game rules:Rock crushes scissors, you win.Paper covers rock, you win.Scissors cut paper, you winQuestion 4 Rewrite the following statement without using variables. Then, give an exam- ple that shows the statement is true. There exist two real numbers a and b such that ab > a + b. Question 5 Rewrite the following statement without using variables. Then, give an exam- ple that shows the statement is false. For any positive integer n, n³ > n².THIS MUST BE DONE IN CORAL: Cracked Egg Game: There are a dozen eggs in a basket; some are hard boiled and some are raw. The object of this game is for the user to guess the number of hard-boiled eggs prior to playing the game. The computer then simulates cracking all 12 eggs, using a random number 0 or 1 to simulate raw or hard boiled. The number 0 should represent raw eggs and the number 1 should represent hard boiled. The computer must keep track of the number of hard-boiled eggs. At the conclusion of cracking all 12 eggs, the actual number of hard boiled is compared to the user’s guess, and whether the user won or lost is given as output. The goal of this milestone is to use Coral to program one of the loops you will need for your finalized program in Project Two. This will help you define the logic, flow, and sequence of the game. For this work, you will write code in Coral for your selected programming game by accessing the activity in the zyBook. Note that links for each are…
- use visual basic Depreciation to a Salvage Value of 0 . For tax purposes an item may be depreciated over a period of several years, n . With the straight-line method of depreciation , each year the item dpreciates by 1/nth of it original value. with the double-declining-balance method of depreciation, each year the item depreciate by 2/nths of its value at the beginning of that year.(In the final year it is depreciated by its value at the beginning of the year. ) Write a program that performs the following tasks:(a) Request a description of the item, the year of purchase, the cost of the item, the number of years to be depreciated (estimated life), and the method of depreciation. The method of depreciation should be chosen by clicking on one of two buttons.(b) Display a year- by-year description of the depreciation. See Fig. 6.15 .Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…Now, you are ready to y-(-8)=5(x-(-1)) Remove the parentheses