Tuesday, March 17, 2020

Come With

Come With Come With Come With By Maeve Maddox â€Å"I’m going to the movies. Do you want to come with?† A reader in England has noticed that this elliptical use of â€Å"come with† on British television and doesn’t care for it: I find it to be an expression I prefer not to use, as it sounds grammatically wrong and very odd, even though, were I in Germany, I would automatically and happily use the equivalent expression Kommen sie mit. Do you know the age of the English Come with? There is an example in the OED of a 19th century elliptical use of with without an object: in slang use, in reference to liquor means mixed with sugar, having sugar added; usually in phrases hot or cold with. 1836  Ã‚   Dickens Sketches by Boz 1st Ser. I. 84  Ã‚   Two glasses of rum-and-water ‘warm with- ’. 1843  Ã‚   R. S. Surtees Handley Cross I. x. 202  Ã‚   Fatch me up a glass of cold sherry negus with. 1843  Ã‚   R. S. Surtees Handley Cross I. xv. 322  Ã‚   ‘Take a glass of brandy,’ said she ‘hot with? or cold without?’ Where did the modern usage originate? The reader’s mention of German â€Å"Kommen sie mit,† points to the answer. Large numbers of German, Norwegian, Swedish, and Dutch immigrants to the U.S. settled in the midwest, near the Great Lakes. â€Å"Kommen sie mit† migrated into the local English dialect. English is, after all, a Germanic language. Old English mid, meaning â€Å"with,† survived into Middle English and was sometimes spelled mit. Many American speakers dislike the usage as well: Why do people say, â€Å"Can I come with† and â€Å"Do you want to go with†? That â€Å"with† hanging on the end of the sentence has always driven me crazy. That reaction seems a bit extreme. My Chicago relations say it. I find it odd, but endearing. It is, however, a regionalism that has not acquired the status of standard English. Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Expressions category, check our popular posts, or choose a related post below:7 Examples of Passive Voice (And How To Fix Them)Between vs. In Between50 Synonyms for "Song"

Sunday, March 1, 2020

Expected Value for Chuck-a-Luck

Expected Value for Chuck-a-Luck Chuck-a-Luck is a game of chance. Three dice are rolled, sometimes in a wire frame. Due to this frame, this game is also called birdcage. This game is more often seen in carnivals rather than casinos. However, due to the use of random dice, we can use probability to analyze this game. More specifically we can calculate the expected value of this game. Wagers There are several types of wagers that are possible to bet on. We will only consider the single number wager. On this wager we simply choose a specific number from one to six. Then we roll the dice. Consider the possibilities. All of the dice, two of them, one of them or none could show the number that we have chosen. Suppose that this game will pay the following: $3 if all three dice match the number chosen.$2 if exactly two dice match the number chosen.$1 if exactly one of the dice matches the number chosen. If none of the dice matches the number chosen, then we must pay $1. What is the expected value of this game? In other words, in the long run how much on average would we expect to win or lose if we played this game repeatedly? Probabilities In order to find the expected value of this game we need to determine four probabilities. These probabilities correspond to the four possible outcomes. We note that each die is independent of the others. Due to this independence, we use the multiplication rule. This will help us in determining the number of outcomes. We also assume that the dice are fair. Each of the six sides on each of the three dice is equally likely to be rolled. There are 6 x 6 x 6 216 possible outcomes from rolling these three dice. This number will be the denominator for all of our probabilities. There is one way to match all three dice with the number chosen. There are five ways for a single die to not match our chosen number. This means that there are 5 x 5 x 5 125 ways for none of our dice to match the number that was chosen. If we consider exactly two of the dice matching, then we have one die that does not match. There are 1 x 1 x 5 5 ways for the first two dice to match our number and the third to be different.There are 1 x 5 x 1 5 ways for the first and third dice to match, with the second be different.There are 5 x 1 x 1 5 ways for the first die to be different and for the second and third to match. This means that there is a total of 15 ways for exactly two dice to match. We now have calculated the number of ways to obtain all but one of our outcomes. There are 216 rolls possible. We have accounted for 1 15 125 141 of them. This means that there are 216 -141 75 remaining. We collect all of the above information and see: The probability our number matches all three dice is 1/216.The probability our number matches exactly two dice is 15/216.The probability our number matches exactly one die is 75/216.The probability our number matches none of the dice is 125/216. Expected Value We are now ready to calculate the expected value of this situation. The formula for expected value requires us to multiply the probability of each event by the net gain or loss if the event occurs. We then add all of these products together. The calculation of the expected value is as follows: (3)(1/216) (2)(15/216) (1)(75/216) (-1)(125/216) 3/216 30/216 75/216 -125/216 -17/216 This is approximately -$0.08. The interpretation is that if we were to play this game repeatedly, on average we would lose 8 cents each time that we played.