2. A box contains one fair coin, three trick coins with heads on both sides, and two trick coins with tails on both sides. (a) If you randomly select one coin from the box, what is the probability it comes up heads?
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![2. A box contains one fair coin, three trick coins with heads on both sides, and two trick coins with tails
on both sides.
(a) If you randomly select one coin from the box, what is the probability it comes up heads?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c77c8ca-cf2a-49c8-86aa-e4a7d9346a8b%2Fe403104d-73ed-4dbd-b4da-527fb2932052%2Fnqp0vwc_processed.jpeg&w=3840&q=75)
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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…True or False: If two coins are filpped, the probability that the two flips are the same is equal to the probability that the two flips are different. True FalseDynamic Programming: Two coins X and YFlip coin X: gain 1 point for the head, and lose 1 point for the tailFlip coin Y: gain 3 points for the head, lose 3 points for the tail. After n round, if the final score is positive, you win. Otherwise, you lose. The score does not matter. Pr(s) be the probability of winning; r is the round; s is the score.P0(s) = 1 for s >= 1; P0(s) = 0 if s <= 0. a. Explain why P1(s) = 0 when s <= -3; P1(s) = 0.5 when -2 <= s <= 1; P1(s) = 1 for s >= 2. b. Explain why you must select X if s is 2 or 3, and you must select Y if s is −2 or −1. b. Determine P2(s) for each possible value of s and explain. (each probability will be one of 0, ¼, 1/2, ¾, 1) c. Fine a recurrence relation for Pr(s) with form Pr(s) = max[(?+?)/2, (?+?)/2]. Explain. d. Use Dynamic Programming to compute probability P100(0) (win the game if it has 100 rounds).
- Use java languageInstallation of a Shopee Billboard Max. score: 100 You are installing a billboard and want it to be at the maximum height. The billboard will have two steel supports, one on each side. The height of each steel bracket must be equal. You have a number of rebar rods that can be welded together. For example, if the bars are of length 1, 2, and 3, they can be welded together to form a length of 6 brackets. Return the maximum possible installation height of the billboard. Return 0 if the billboard cannot be installed.Craps is a single player dice game, that proceeds as follows:1. the player rolls 2 six-sided dice once if the total is 7 or 11, the player wins if the total is 2, 3 or 12, the player loses otherwise, the game continues, ... see 2 ... 2. the player the continues to roll the dice repeatedly, until ... the total is the same as the original total (from 1), in which case the player wins the total is 7, in which case the player loses Write a function craps using Python that simulates a single game of craps (may be many rolls) and returns 1 if the player wins and 0 otherwise. Sample results examples: >> import random>>> random.seed(0)>>> craps()0 >>> random.seed(1)>>> craps()1 >>> random.seed(2)>>> craps()0 >>> [ (i,random.seed(i),craps()) for i in range(20)][(0, None, 0), (1, None, 1), (2, None, 0), (3, None, 1), (4, None, 0), (5, None,1), (6, None, 0), (7, None, 1), (8, None, 0), (9, None, 0), (10,…
- In the Dice Roll game, the player begins with a score of 1000. The player is prompted for the numberof points to risk and a second prompt asks the player to choose either high or low. The player rollstwo dice and the outcome is compared to the player’s choice of high or low. If the dice total is between2 and 6 inclusive, then it is considered “low”. A total between 8 and 12 inclusive is “high”. A total of7 is neither high nor low, and the player loses the points at risk. If the player had called correctly, thepoints at risk are doubled and added to the total points. For a wrong call, the player loses the points atrisk. Create a DiceRollGame application that uses a DRPlayer object based on this specification. TheDRPlayer object should have two Die member variables that represent the dice. The Die class shoulduse a random number generator to determine the outcome in a roll() method. Application outputshould look similar to:In the Dice Roll game, the player begins with a score of 1000. The player is prompted for the numberof points to risk and a second prompt asks the player to choose either high or low. The player rollstwo dice and the outcome is compared to the player’s choice of high or low. If the dice total is between2 and 6 inclusive, then it is considered “low”. A total between 8 and 12 inclusive is “high”. A total of7 is neither high nor low, and the player loses the points at risk. If the player had called correctly, thepoints at risk are doubled and added to the total points. For a wrong call, the player loses the points atrisk. Create a DiceRollGame application that uses a DRPlayer object based on this specification. TheDRPlayer object should have two Die member variables that represent the dice. The Die class shoulduse a random number generator to determine the outcome in a roll() method. Application outputshould look similar to:Quick Quiz: In a machine shop, two cams are produced, one of aluminum (P = 2.7x10 kg/m ) and one of iron (Prer = 7.86x10 kg/m). Both cams have the same volume. Which cam is heavier? %3D %3D (a) The aluminum cam is heavier. (b) The iron cam is heavier. (c) Both cams have the same mass.
- Correct answer will be upvoted else Multiple Downvoted. Computer science. You are playing another PC game in which you need to battle beasts. In a prison you are attempting to clear, you met three beasts; the first of them has a wellbeing focuses, the second has b wellbeing focuses, and the third has c. To kill the beasts, you can utilize a gun that, when discharged, bargains 1 harm to the chose beast. Each 7-th (I. e. shots with numbers 7, 14, 21 and so on) gun fired is upgraded and bargains 1 harm to all beasts, not only one of them. In case some beast's present measure of wellbeing focuses is 0, it can't be designated by an ordinary shot and doesn't get harm from an upgraded shot. You need to pass the prison delightfully, I. e., kill every one of the beasts with a similar improved shot (I. e. after some upgraded shot, the wellbeing points of every one of the beasts should become equivalent to 0 interestingly). Each shot should hit a beast, I. e. each shot arrangements harm to…a) In the Hi-Lo game, the player begins with a score of 1000. The player is prompted for the number of points to risk and a second prompt asks the player to choose either High or Low. The player’s choice of either High or Low is compared to random number between 1 and 13, inclusive. If the number is between 1 and 6 inclusive, then it is considered “low”. A number between 8 and 13 inclusive is “high”. The number 7 is neither high nor low, and the player loses the points at risk. If the player had guessed correctly, the points at risk are doubled and added to the total points. For a wrong choice, the player loses the points at risk. Create a HiLo application based on this specification. Application output should look similar to: b) Modify the application to allow the player to continue until there are 0 points left. At the end of the game, display the number of guesses the user took before running out of points. This is my code I just need part b import java.util.Random; import…a) In the Hi-Lo game, the player begins with a score of 1000. The player is prompted for the number of points to risk and a second prompt asks the player to choose either High or Low. The player's choice of either High or Low is compared to random number between 1 and 13, inclusive. If the number is between 1 and 6 inclusive, then it is considered "low". A number between 8 and 13 inclusive is "high". The number 7 is neither high nor low, and the player loses the points at risk. If the player had guessed correctly, the points at risk are doubled and added to the total points. For a wrong choice, the player loses the points at risk. Create a HiLo application based on this specification. Application output should look similar to: High Low Gane RULES 1 through 6_are lou Nunbers 8 through 13 are high Number ? is neither high or low You have 1000 points. Enter points to risk: 500 Predict (1=High, 0=Low): 0 Nunber is 4 You win. Play again? y You have 2808 points. b) Modify the application to…
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