Showing posts with label probability. Show all posts
Showing posts with label probability. Show all posts

Scribe Post for October 15, 2008

Wednesday, October 15, 2008
***The Following information could be wrong so double check***

Today in class Mr Harbeck was talking about a page that we did for homework one side it had questions 1-14 and questions 1-10 on the other. The one that he explained to us was the one with 1-10 on it. He asked if there was any question regarding the page, and there were quite a few questions that Mr Harbeck Explained on the white board and here is on of them:

This was question 7 on the sheet:

You roll a cube which has the numbers 16, 18, 24, 18, 24 and 26. You then spin a spinner which has 5 section on it C, F, H, H, H. The it asks to find P(probability) of getting a number less than 24 and not and F. Here is how i did my solution:

1st you find how many TPO's there are by multiplying 6x5 to get 30 then you map it out like a tree.

Then you want to find the FO which is a number less than 24 and not a F.


Then If you count the ovals you get 12 of them so that's your FO's then you make a fraction to a percent:

This means that there is a 40% chance of getting a number less than 24 and not getting an F.


Mr Harbeck also explained on Independent and Dependent events, this is where there are 2 things happening(dependent) and an event on its own(independent):

Say if you have a coin and a spinner with 2 section, for it to be dependent you multiply what you have so 2x3=6 for the TPO's

He gave us some homework from a textbook so i'm just going to do question 5a

it said green and a 2 find P:

first find the TPO so you have to multiply 5 and 2, 5 for how many section and 2 for either a green or red. so 5x2= 10 you now have 10 TPO's to find the FO use a Tree:


Then you can see that there is only 1 2 and 1 green with 2. so that means that it has a 1/10 chance of getting that combo or just 10%.


For the test you have to know Experimental and Theoreticaly Probability and more probability stuff.



So this is what we did during class and I hope it made sense to you so please leave a comment about the scribe and all of my hard work.

The next scriber will be bobby, good luck on the next scribe bobby!!!!!!!!!!!!!!!!!!!!

Scribe Post for October 14, 2008

Tuesday, October 14, 2008
(WARNING!!! some information may not be correct or accurate please double check)

What Italian Insects often fall in love?
Today we talked about two questions in that sheet. First I' m going to talk about how you do the questions in words then I' m going to put it in words then I' m going to show you pictures.
Number seven is one of the question that we did. Look at the notes that you did on how to put fractions into percent and that should tell you on how to do the question. If you still don't get what I mean read the following sentence I' m going to write. First the question is If 100 raindrops fall on the tiles, about how many of them would you expect to fall on: A black tile or A white tile. There's about 9 black tiles out of 25 tiles so the FO (favourable outcome) Would be 9 and the TPO (total possible outcome) would be 25. If you want to find the percent first make sure that the TPO would equal to 100 so the answer would be x4 and the rule is whatever you do to the bottom you do to the top. I got 36 out of 100, what did you get? So the answer would be 36 %.
There's about 16 white tile out of 25 tiles so the FO would be 16 and the TPO is 25. So it would be 9/25 and remember the rule whatever you do to the bottom you do the same thing on the top. So you find out what can you do to the bottom number so it would equal to 100 and whatever you get in the bottom you do the same in the top to get the answer. Whatever is in the top number that would be the percent. I got ^4 out of 100, what did you get? So my answer would be 64%.
The largest percent is white tiles so do you think it's the answer? Figure it out!!!
HERE IS THE PICTURE OF THAT PROBLEM














The second question is Suppose you do a survey to find the blood types of 200 people and obtain the results in the table. Based on this data, find the probability that a randomly chosen person has, a.type O+, b. A-, c. B-, d. ab+ or ab-.......
Keep on doing the trick or the lesson on how to put probability into percent do that on all the type of blood indicated on the question. ( I' m going to do A and B and you figure out the rest and try to see if it's correct...... so i don't give out answer and i know you're doing it yourself )
A.38%
B.6%

O+ = 76
A- = 12
B- = 4
AB+ = 6
AB- = 2





Blue Sheet ( More Probability )
For homework We did a blue sheet And I' m going to talk about three question one in the front and two from the back.....
Here is the question one for the front
A jar contains 11 white and blue 21 blue marbles. A marble is drawn at random
p ( not blue )

Express the probability as a fraction









You roll a number cube numbered from 1 to 6. You then spin a spinner with 3 sections each with a different color. The spinner has the colors orange, gray, an
d pink
(p [2,4,1,5, or 3 and orange])







**count the gpo's. How many is it it's 18 right**








Now Here's a video about probability***




Now the first page is easy But the second or back page is kinda hard but try as hard as you can and as the year go along you're going to get it. Now i hope you understand all the things I just said if you don't ask Mr. Harbeck and at least i helped you a little bit.
PLEASE PLEASE PLEASE leave a comment behind!!!
For the next scribe I choose JAY ...



Scribe Post for October 10, 2008

Monday, October 13, 2008
Probability
In class today we learned about Theoretical and Experimental Probability. Theoretical probability is what should happen, hence the word "Theory." Experimental probability is what happened after the experiment, sort of like the result. We learned that the more times we do an experiment, the closer the experimental probability is to the theoretical probability. To help us understand better, Mr.Harbeck used a gumball machine as an example.

(Drawn by chinn2)

The gumball machine has 10 balls in total. Four of them are blue, 3 are yellow, 2 are green and one red. Every time we pull a gumball out, it replenishes what was taken out. To find the the theoretical probability you need to make a fraction, favorable outcome(F.O.) over total possible outcome(T.P.O.).

Ex.
I want red, so red is my favorable outcome. Red has one out of 10 chance of being picked. 1/10 one being the F.O. and 10 being the T.P.O. One out of ten in fraction is 10%. This is the theoretical probability of a red gumball coming out. This goes the same for all the other colors.


So when we take out 10 gumballs only one of them should be red, right? Wrong!! That was only the theoretical probability. This is when experimental probability kicks in. To find this you need to conduct some experiments or trials. After this make a fraction of F.O. over # of trials.

Ex.
I want red, so again red is the favorable outcome. I took out 10 gumballs and I got 2Reds, 5Blues, 2Yellows and one Green. Out of ten gumballs, I got 2red ones. In other words, 2 F.O. out of 10 Trials. 2/10 = 20% = Experimental Probability.

This is the first part of the class on Friday. The second part is the most beloved one, HOMEWORK!!

Which Italian Insects Often Fall in Love?
I am going to show you three of the 13 Questions on this page. (My answer may not be 100% correct so leave a comment if there are mistakes. Thank you.)

The first question I'm going to show is #8.
"Jack rolled a regular 6-faced die three times and got 2 each time.
What is the probability he will get 2 on the next roll?

Answer: The probability he will roll a 2 again is 1/6 or 16.7%
. Although he got twos in the last three times it doesn't change his theoretical probability.

The next question is #11.
"Jill tossed a coin 10 times and got heads every time. What is the probability she will get heads on the next toss?"

Answer:
The probability he will get heads again is 1/2 or 50%. Even if he was in a streak, his theoretical probability is still the same.

The last question is #12.
"A traffic signal is green for 20 seconds, then amber for 5 seconds, then red for 30 seconds. When you reach the signal, what is the probability it is:

  • a)-Green,
  • b) - Amber,
Answer: A) The probability it will be green is 20/55 seconds or 4/11. That is 36.36% repeated.
B) The probability it will be amber is 5/55 seconds or 1/11. That is 09.09% repeated.



This is mostly what we covered in class. I may have missed a few minor details but i hope this helps. Now I have the power to pick whoever I want to be the next scribe and I choose my BEST FRIEND, FRANCIS!!!

scribe post for October 10, 2008

Saturday, October 11, 2008
Today in class we started off by discussing Theoretical Probability and Experimental Probability. We were talking about how we played a game where we were picking "gumballs" out of a bin and each color gumball has a different chance of appearing because for example there were lots of blue and that gave it a bigger chance to show up than the other colors. There was 1 red gumball, 2 green, 3 yellow, and 4 blue. 10 gumballs in total, so the total possible outcomes is 10. Now, each color of gumballs has a different chance of appearing and the total of gumballs is 10 so (e.g.) the red gumball has 1/10 chance of appearing. The yellow gumballs have 3/10 chance of appearing. The green gumballs have 2/10 chance of appearing and the blue gumballs have 4/10 chance of appearing. This is the "theoretical probability" because this is what SHOULD happen when we pick out 10 gumballs and put back the gumballs after every turn. Now, when we actually did the experiment, we saw that the theoretical experiment isn't going to be the exact answer, because each gumball has a CHANCE to appear, its not the "guaranteed" answer. When my group did the experiment, we got a pretty close comparison to the theoretical probability, but it still wasn't perfect. Mr. Harbeck told us to do this experiment, pulling out the gumballs one by one, 100 times to truly test if the theoretical probability is never what you'll really get. My group finished this experiment and these are our results. We picked out blue 47 times out of 100 which was only 7 draws off of what we should have gotten. For yellow it was also close, 25/100. For green we got 24 draws out of 100 and for red we got 4 draws out of 100. We also learned that the more you do an experiment, the closer you will get to the theoretical probability, and you might even land spot on the theoretical probability. Here is the work explained above.


The next and last thing we talked about was again about probability. It was just mainly a worksheet asking questions about probability. I chose to show you questions 4, 5 and 6. Question 4 asks "If you roll a regular 6-faced die 1200 times, about how many times would you expect to get a 4. Well for one thing, we know that this is a 6-sided die. That means each number has an equal chance of being rolled. If we take 1200 rolls and divide it by how many total possible outcomes there are, then we get 200. Now, we also know that each number has an equal chance of being rolled so that means we should expect the number 4 to be rolled 200 times if we were to roll a 6-sided die 1200 times.



Question 5 asks "If a raindrop falls on this set of 25 tiles arranged in a 5x5 square, how many equally likely outcomes are there? There are 25 tiles and 9 of them are black. All the rest of the tiles, 16, are white. Therefore, there is a 36% chance that the raindrops will land on the black tiles and a 64% chance that the raindrops will land on the white tiles. The result is that there are no equally likely outcomes.




For the last question I will be showing you, it asks you to find each probability if a raindrop falls on the black tiles, white tiles, and GREEN tiles. Well, from the last question we already fo
und the probability of landing on the black or white tiles. Black has a 36% chance of being landed on by (a) raindrop(s) and white has a 64% chance of being landed on by (a) raindrop(s). All we need to find now is the probability of a raindrop landing on a green tile. The answer is very simple, 0% chance. It is 0% chance because there ARE no green tiles!


That is pretty much all we did today in math class so I hoped someone learned something out there. I know I did. So, i have to choose someone to do the next scribe...who should i pick?? Hhhhhmmm... I will have to pick : Marc :D

Scribe Post for October 9 2008

Thursday, October 9, 2008
first thing in class we talked about. how many papers the school uses.
the school uses 4,000,000 papers per month. which is 5000 boxes.
one paper truck carries 250 boxes. and in a school month there is 25 days.
questions we talked about, and answered are:

how many papers does the school use per day ?
and to get that ..
4,000,000 paper per month / 25 days = 160,000 per day.
now, how many boxes the school use per day?
and to get that ..
160,000 papers per day / 5000 boxes = 32 boxes per day.
how many trucks came to deliver papers ?
and to get that ..
32 boxes per day x 25 days = 800 / 250 per trucks = 3.2 trucks.
which is .. 3 trucks came to deliver papers to sargent park.
and the we talked about probability.
what colour will often be taken off the gumball machine ?
the colours are : 1 red, 2 green, 3 yellow, 4 blue.
we have to do questions 3, 4, 5, 6, 7, 8.

3. you have to make a tally chart on taking gumballs using chips off the container.
but you put the chip back after you record it. you have to do ten trials.
my tally chart:

4. make a prediction on what you will get if you do another ten trial.
my prediction: i will still get a lot of blue, because its has more chances than other colours.
5. do ten more trial. and a tally.
my tally:


6. combine the two tally chart on a new tally chart.
my tally:



then we have to do 100 trials including the 20 before. so we only have to do 80 more.
my tally chart for 100:

7. put the numbers from the 100 tally chart to percents.

8. put the percentage in a numberline.
next to scribe, i choose: Nicko

Scribe Post for October 9, 2008

In the beginning of class today, we were talking about the number of printing paper, we would have in one day and worked through a whole bunch of question. The last question was, how many trailers would there be to get all the paper we need in one month?

Here are the information. I'll help you go through this problem.
- 4 000 0000 in one month ( 25 days)
-1
60 000 in one day
- 5000 boxes all together

- 32 boxes for 160 000


Now, ill show you how to get this information.
- to find how many paper we used in one day we have to do this:
4 000 000 (in one month) / 25 (days) = 160 000 (in one day)
-to find the 32 boxes we have to do this:
160 000(in one day) /5000(boxes) = 32 boxes
AND finally, this is how you find how many trailers you need:
32 (boxes) x 25 (days) / 250 (trailers) = 3.2 trailers
Then you just round that off to a whole number.
3 trailers !

After we have done that, we did the gum ball machines sheet.


























We answered the questions 3, 4, 5 in class, and the rest was for homework.
Question number 3: you have to use tallies
Question number 5: you have to use numbers, eg. 5
Question number 6 : you have to use fractions out of a hundred , eg. 5/100
Question number 7 : you have to use percents, eg. 7%
Question number 8: you have to change the number like into percents %





This what we did in question number 3 .
My group and I drew out 10 gumballs. This is our result:







In question number 4 you just write why your predictions were right or wrong. EXPLAIN .
For example :

My predictions were not very close because I thought that it would be the blue gum balls that would be the most picked out, because the blue has the most gum balls.

In question number 5 , we had to draw out 100 gum balls and this is what my group got:






This is what you do for question 6.





In question 7, you just have to convert the answers for question 6 to percents.



In question 8, put your percents on the number line





So , now you could see, there is more possibility for the gum ball to be blue than it is to be red.
Sorry if this is hard to understand, I tried to explain it well .
THE NEXT SCRIBE IS: PATRICK ! :P

Scribe Post for October 8, 2008

Wednesday, October 8, 2008
Today in class, we did a dice game. We had to figure out if the dice game is fair or not.

Here are the rules for the game:
1) One of the participants is the PLAYER and the other is the OPPONENT. Only the PLAYER rolls the number cubes.
2)Each participant starts out with ten points.
3)Each time the PLAYER rolls a sum of 7, the OPPONENT must give up or transfer three points to the PLAYER.
4)Each time the PLAYER rolls any sum other than 7, he or she must give up one point to the OPPONENT.
5)Record the results of each roll on this game sheet. Record how many points the PLAYER or the OPPONENT has at the end of each roll of the dice.
6)The student with the most points at the end of ten rolls is the winner. If one of the participants runs out of points before ten rolls, the other participant is the winner.

Everyone in the classroom had to be in a group of two to play this game. We used a dice that has another dice in it.

Here is an example of what the game looks like:





Another thing we did today was a car game. Here are the rules:
1)Red Car moves when a dice is rolled the number 2, 4, 6
2)Blue Car moves when a dice is rolled the number 1, 3, 5
3)The car that gets to the end first wins.
When Mr. Harbeck did the game, the blue car ended up winning.

Then, we had to figure out a fair way to win a game without using even or odd numbers. My classmate and I figured out fair way. This is what the rules are:
1)Red Car moves when you roll1,2,3
2)Blue Car moves when you roll 4, 5, 6
These rules are fair because both of the cars have an even chance of winning.

The next scribe poster I choose is... MELISSA !