You win a dollar if the proportion of red marbles is larger than that of blue marbles, that is, if you get a proportion > 0.5 of reds. We know by the law of averages that chance error relative to the number of draws = (proportion of reds you get)- (proportion of reds expected) gets smaller and smaller as n increases. So use that to decide between the choices. So n=200 will get you closer to the true proportion of reds ( > 1/2) than n=100, and therefore n=200 will get you closer to winning the $1. p.286.
The game consists of a 4 x 4 board (see below) where each cell contains a positive integer. You and your friend make moves alternately. A move by any of the players consists of splitting the current board configuration into two equal halves and retaining one of them. In your moves you are allowed to split the board only vertically and to decide to retain either the left or the right half. Your friend, in his/her moves, can split the board only horizontally and can retain either the lower or the upper half.
Running Head: Assignment 2: Logic Application Assignment 2: Logic Application MAT 104 – Algebra with Applications February 27, 2012 This assignment introduced a concept of logic application. The instructions displayed a given scenario that required a solution. Along with the solution, a method of obtaining the answer is also requested. For the purpose of this assignment, the scenario introduced a card guessing game. The prompt explained each player draws (without looking) three cards.
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Representations: If you want to win the game, you should start with an even number. If you want you to lose or get your opponent to lose, start with an odd number. You want to have an odd number land in your spot because the final result to win is odd (1). An odd number can only have odd divisors, so when you subtract it by an odd it will become and even and you will lose. So, to win you must start with an even number.
How much is a driver’s life worth? There are no guarantees in this scenario for $1,000,000+….it only says Goodstone is considering it. Is a driver’s life worth more or less than $1,000,000? The current financial state of the team is $32,500 in the hole. There are 4 possible outcomes in this scenario: 1) Sampson Team decides to race and finishes in the Top 5 50% Chance.
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Its very premise seems to be built on a falsehood; the erroneous belief that an individual can beat the odds. Griffiths suggests a number of such heuristics. We shall consider a few of them: Gambler’s fallacy seems to be an obvious starting point: the idea that random events equal themselves out over time. “I haven’t had a win for three months so it’s my turn soon.” With the lottery, the idea that a number hasn’t been drawn for twelve weeks so it must come up this time. Availability bias: is in some respects the above heuristic in reverse.
TRUE 17.In 2012, Juan, a cash basis taxpayer, was offered $3 million for signing a professional baseball contract. He counteroffered that he would receive $900,000 per year for 4 years beginning in 2013. The team accepted the counteroffer. Juan constructively received $3 million in 2012. FALSE 18.The constructive receipt doctrine requires that income must be recognized when it is made available to the cash basis taxpayer, although it has not been actually received.
There are many terms that people don’t understand, and some that I didn’t understand until today. Let’s start off with the scoring; the game is scored 15, 30, 40, and game. The game’s scoring was supposed to be sequence based off the time an increment in an hour, 45 was simplified to 40. Deuce means both players have equal scores, and must win by two, which is the hint by the word deuce (2). Love comes from a symbol of an egg shaped like a zero, letting a player know that the respective player has zero points.