Two friends, Neha and Sneha, decided to play the game pockets billiard on their holiday. This game is similar to the carom game, except but it has 6 holes on the board to strike the balls into it. This game consists of 15 numbered color balls, and 1 cue ball, which is used to strike the other 15 numbered color balls to the holes. These balls are arranged in the pyramid form. The first player strikes them using the white ball(cue ball) to break the formation and then tries to sink the ball into the holes. Each player takes alternate turns to strike the balls. (Note: Ignore the cue ball while taking the total number of balls.) 1. If Neha plays first, then the probability that she successfully sinks the ball numbered 10 is1212151151015 2. If Sneha plays secondly without replacing the ball 10, then the probability that Sneha sink the ball numbered 13 is11410151315115 3. The probability that Neha sinks a ball is an odd number is1315114115815 4. The probability that Sneha sinks a ball is a number divisible by 6 is215115114815 5. The probability that Sneha sinks a ball is a number not divisible by 6 is1315215115114
Question
Two friends, Neha and Sneha, decided to play the game pockets billiard on their holiday. This game is similar to the carom game, except but it has 6 holes on the board to strike the balls into it. This game consists of 15 numbered color balls, and 1 cue ball, which is used to strike the other 15 numbered color balls to the holes. These balls are arranged in the pyramid form. The first player strikes them using the white ball(cue ball) to break the formation and then tries to sink the ball into the holes. Each player takes alternate turns to strike the balls. (Note: Ignore the cue ball while taking the total number of balls.) 1. If Neha plays first, then the probability that she successfully sinks the ball numbered 10 is1212151151015 2. If Sneha plays secondly without replacing the ball 10, then the probability that Sneha sink the ball numbered 13 is11410151315115 3. The probability that Neha sinks a ball is an odd number is1315114115815 4. The probability that Sneha sinks a ball is a number divisible by 6 is215115114815 5. The probability that Sneha sinks a ball is a number not divisible by 6 is1315215115114
Solution
The text you provided seems to be a set of probability problems related to a game of billiards. Here are the solutions:
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The probability that Neha successfully sinks the ball numbered 10 is 1/15. This is because there are 15 balls and she is trying to sink one specific ball.
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If Sneha plays second without replacing the ball 10, then the probability that Sneha sinks the ball numbered 13 is 1/14. This is because after Neha's turn, there are only 14 balls left.
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The probability that Neha sinks a ball with an odd number is 8/15. This is because there are 8 odd-numbered balls (1, 3, 5, 7, 9, 11, 13, 15) out of a total of 15 balls.
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The probability that Sneha sinks a ball with a number divisible by 6 is 2/15. This is because there are 2 balls with numbers divisible by 6 (6 and 12) out of a total of 15 balls.
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The probability that Sneha sinks a ball with a number not divisible by 6 is 13/15. This is because there are 13 balls with numbers not divisible by 6 out of a total of 15 balls.
Similar Questions
The game of billiards involves two players knocking 3 balls around on a green baize table. Well, there is more to it, but for our purposes this is sufficient.The game consists of several rounds and in each round both players obtain a score, based on how well they played. Once all the rounds have been played, the total score of each player is determined by adding up the scores in all the rounds and the player with the higher total score is declared the winner.The Siruseri Sports Club organises an annual billiards game where the top two players of Siruseri play against each other. The Manager of Siruseri Sports Club decided to add his own twist to the game by changing the rules for determining the winner. In his version, at the end of each round, the cumulative score for each player is calculated, and the leader and her current lead are found. Once all the rounds are over the player who had the maximum lead at the end of any round in the game is declared the winner.Consider the following score sheet for a game with 5 rounds:Round Player 1 Player 21 140 822 89 1343 90 1104 112 1065 88 90The total scores of both players, the leader and the lead after each round for this game is given below:Round Player 1 Player 2 Leader Lead1 140 82 Player 1 582 229 216 Player 1 133 319 326 Player 2 74 431 432 Player 2 15 519 522 Player 2 3Note that the above table contains the cumulative scores.The winner of this game is Player 1 as he had the maximum lead (58 at the end of round 1) during the game.Your task is to help the Manager find the winner and the winning lead. You may assume that the scores will be such that there will always be a single winner. That is, there are no ties.InputThe first line of the input will contain a single integer N (N ≤ 10000) indicating the number of rounds in the game. Lines 2,3,...,N+1 describe the scores of the two players in the N rounds. Line i+1 contains two integer Si and Ti, the scores of the Player 1 and 2 respectively, in round i. You may assume that 1 ≤ Si ≤ 1000 and 1 ≤ Ti ≤ 1000.OutputYour output must consist of a single line containing two integers W and L, where W is 1 or 2 and indicates the winner and L is the maximum lead attained by the winner.Sample 1:InputOutput5140 8289 13490 110112 10688 901 58
Billiards ____ my cousin'sfavorite sport.A. willB. isC. areD. am
Carrom is a board game where two participants (teams) play. It consists of 9 white coins, 9 black coins, and a red coin. The first team to finish all their coins wins (given that red has been pocketed by one of the teams). The points are awarded based on the number of left-over coins from the losing team on the board. If the winning team has pocketed the red, they get an additional 5 points.Write a program to compute the score of the winner at the end of a round.If the number of coins left on the board is either less than 1 or greater than 9, display "Invalid Input".Input format :The input consists of an integer that corresponds to the number of coins left on the board and a character that corresponds to whether the winning team has pocketed red or not.Output format :The output displays the total points won.Print "Invalid Input" if the number of coins is less than one or greater than nine.Refer to the sample input and output for formatting specifications.Sample test cases :Input 1 :5yOutput 1 :10Input 2 :10nOutput 2 :Invalid Input
A cue ball in a frictionless environment collides with three stationary billiard balls. How does the momentum of the three billiard balls change due to the collision?Multiple choice question.The momentum that the group of balls gained is equal to the momentum that the cue ball lost. Momentum is conserved.The momentum of the group of balls does not change, nor does the momentum of the cue ball. Momentum is conserved.The momentum that the group of balls gained is less than the momentum that the cue ball lost. Momentum is not conserved.The momentum that the group of balls gained is more than the momentum that the cue ball lost. Momentum is not conserved.Need help? Review these concept resources.
19. This is an example of a simultaneous game.Group of answer choicesRock-Paper-ScissorsTic-tac-toeBasketballChess
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