Now that we have analyzed gta 5 releases 2, 3 and 4 coins and then reflect on the fact that throw n

When students first study the situation: throw two coins and watch the faces that have been up, how to bet option: leave two numbers, gta 5 only one number or no? tend to think that the three options have the same opportunities. When doing some experiment releases begin to sense that the option to leave just a number upwards more often, when they do a simulator which can perform many shots begin to see not only more frequent but is twice in common than the other two options: In this image the result gta 5 of a simulation of 70 shots made http://syzygy.virtualave.net/webwork/javascript/23coints.htm seen in 35 opportunities in currencies has out a number (a train here) and the other one side (the other two were 17 and 18 faces two numbers)
We believe that to help the student to see that throwing two coins are four possible outcomes and to make three good throws with two different currencies Source: http://bilder-bibliothek.blogspot.com.es/
With these coins, the possible outcomes gta 5 of releases are: that the two remain the number up, that euro remains in the number and the dollar is not that the dollar remains the number and of the euro is visible or not any of the two numbers. If you throw three coins bet on which option? Source: https://commons.wikimedia.org The simulator used for both currencies also used to analyze this experiment
And therein applet gta 5 can also compare the launch gta 5 of two and three currencies: in the case of two currencies "on both sides get the same" is a medium probability event but in the case of three coins "in the three sides get the same "is an event of probability one quarter.
In connection with the release of four currencies we offer animated gta 5 project activity NRICH The Better Bet: bet should go to exactly two numbers to throw up when 4 coins? Certainly not because we only have 6 chance of winning between 16 possible results. But if we propose to launch pay 1 euro coins and get paid 3 euros when both sides should play?
Now that we have analyzed gta 5 releases 2, 3 and 4 coins and then reflect on the fact that throw n coins is the same as throwing a coin n times, we plantejarnos this other problem NRICH: Thank Your Lucky Stars (think all activities NRICH links lead to the solution of the problem, to no resources for teachers and similar gta 5 problems)
In the next post dedicated to materials likely to work there and talk craps games not comment extensively transitive, although most involve dice there is one that involves the release of a coin repeatedly so may want to mention it in this post: The Games of Penney: Tiranda coins with Curious Resultado. gta 5 Finally we discuss some of the other currencies that there are three types: some that are red on both sides, others on both sides are blue and others are red on one side and blue on the other. Take one of each type, we put them in a bag, draw one, we look at one side and try to guess the color of the face we do not see. What is the best strategy? Here is a simulator of the game made by John Jareño http://www.xtec.es/ jjareno ~ / activities / random / tres_fitxes.htm And here a study of the problem. Comment posteriori
During the Tenth Conference on Mathematics Education organized the IEC we heard the presentation of the group MatGi "Topic 13: Probability and Statistics" and there were proposed to realize the problem of Buffon coin. We highly recommend documents about this issue you will find by following the link anterio. Particularly gta 5 noteworthy simulator experiment and offered contrasting experimental data with the geometric analysis of the position they occupy the center of coins that have no contact with the lines. Copy obtained with the simulator screen aforementioned
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