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Monday, February 27, 2006 

Probability

Hey guys its me rein, for today we had two math periods. In the morning class Mr. K put us into groups and worked on a probability excersice and we spent the whole morning class just to solve and understand the problem. To start the afternoon class Mr. K made us draw a tree diagram for flipping a coin ( 2 times and 3 times) and list the sample space (a sample space is the set of all possible things that can happen for a given set of circumstances.) and make a chart for rolling a 6 with dies ( one blue and one red). Our teacher also said that a tree diagram is better than a chart because a tree diagram breaks down or stratifies ideas in progressively greater detail. The objective of a tree diagram is to partition a big idea or problem into its smaller components, making the idea easier to understand or the problem easier to solve.
Note:1) When working with a tree diagram we MULTIPLY inorder to get the outcome.
For example: flip a coin two times the result must be two heads. To solve this problem this is what we have to do. We all know that when we flip a coin the probability is 50% (1/2)on getting heads and 50% (1/2) getting a tails. To find the outcome of this problem we have to multiply each of the possibility that we will get heads on the first flip and on the sencond flip. (REMEMBER: the posibilities dont change after the first flip)
(1/2) X (1/2)= 1/4 The answer is 1/4 or 25% chance of getting two heads in a row.
2) When collecting the sampe space we all add the possible outcome. For example, when flipping a coin two times the sampling space is 4 because their are 4 possilbe outcome ( Heads and Heads, Heads and Tails, Tails and Heads, Tails and Tails).
Near the end of the class he tought us some thing new and its called fractorial (dont know if i heared him correctly). The symbol for a fractorial is ! Which is equal to 12-11-10-9-8-7-6-5-4-3-2-1. To find this symbol on your calculator you go Math then go to the PRB section and press 4 or scroll down 4 times. He will talk about this more later on the course.
The homework for today is Page 17-19 numbers 1-9.
The next scribe is Khan. (If you did not understand any of my examples please feel free to ask Mr.K and he will be happy to help you :). )




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