Today's Slides: March 11

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BOB

Wow i woke up late, i have 1 minute to do this. lol, k so this unit was pretty tough, the groups helped a bit but if everyone in ur group doesnt know whats happening too or is giving false information, that pretty much screwed me over. i liked the groups though, half the time it did help me. my muddiest point was when to use nPr and nCr, that pretty much kicks my butt!

BOB

Bobbing on Probability

Class was pretty helpful 'today'. I too had trouble deciding whether to use
the combination or permutation formula on certain problems but it is a bit
more clarified now. It can get a little bit tricky but next time I guess I should
just read the question more carefully. And to remember on certain problems
whether to use pick or choose.. maybe I should think that "picking" is
somewhat like favouring a person or a thing when selecting a person onto a
team or whatever (order matters). And "choosing" as the opposite... choosing
people without care of who you choose and what order haha. Well that's
just my interpretation of it. =] Good luck on the test everyone.

BOB- Probability

sorry i know this BOB is late but i totally forgot to do it i got caught up studying after work and i just remembered. but anyways.. ok so after today's class talking about permutations and combinations i think i fully get that stuff.. and well for the kinds of questions like "how many different 4 digit numbers are there in which all the digits are different?" i think i am ok with but when it came to today's pretest.. i blanked out on the second page.. the question about Peter and Deanna.. i got lost... but after looking over today's slides i think i got it down i just hope i don't blank out tomorrow onthe actual test. i know it's late but i think i am going to keep studying till maybe 2 or 2:30 because i really want to do well on this test!

goodluck dudes!

BOB

Kay so probability wasn't an easy unit and I'm not going to lie, I think if I actually kept up with what we did in class and did all the homework assignments, I wouldn't be struggling as much as I am to get ready for the test. 'Cause I just finshed studying and for some reason it feels like my brains blanking out everything I just went over =\. But yea, I know we went over nCr and nPr in class and I know what they stand for, the only problem I'm having with them is that I'm not quite sure how to use them properly yet.
Other than that, I think I understand the rest because I'm pretty sure that I'll be able to solve questions that involve independent, dependent events and pathway of counting questions. I also know I'll have to take my time reading questions on the fundamental principal of counting so that I don't rush through it and miss a step. Oh! And questions like A Great Way to Make Money and Give a Worm a Chance were pretty hard questions and hopefully they won't be on the test =) *hint hint.. lol kay thats all..

BOB

okay so, this is my b.o.b and to explain what I have most trouble in are the word problems, they always mess me up. I don't know why, and sometimes the multiple choice, because sometimes I got to really understand what the question is asking before I can answer it properly. So those are the probably the only things I get confused on, oh, oh, oh and the part in which we use nPr and nCr, yeah....that too heheh. Time to cram studying in the head tonight, jk...but not really

SCRIBE

okay so today we worked on a pre-test since our unit test is tomorrow...

1. A combination lock requires the owner to choose three numbers from 1-40 in order to open the lock. if numbers can be repeated, the probability of an individual correctly guessing the combination to this lock is:

C) 1/ 40^3

this is the correct answer since in a combination lock you are able to use a number more than once. For example a combination could be 12,25,12. And because of this you would have to count all 40 numbers 3 times. 

2. Using the diagram to the right, given the shortest routes from A to C are travelled, what is the probability that a chosen route will pass through point B, in attempting to get from A to C?

C) 4/7

i think that its pretty much self explanatory as long as you use pascals triangle u can get the answer easily.

3. Using the word FOOD, the probability that and arrangement of this word will begin with the two O's if all the letters are used, correct to the nearest hundredth must be: 

# of ways to start with O. 

1   1  2  1 = 2

-- -- -- --

o  o 

No restrictions 

4! / 2! = 12

 

the 4! represents the four letters in the word and all the ways they can be arranged and the 2! represents the two O's

therefore:

p = 2 / 12

   = 1 /6

The answer is 1 / 6

4. Events A and B have the following probabilities of occurring ; 0.2 = P(A) , 0.5 = P(B). If these events are mutually exclusive, the value of P(AorB), correct to the nearest hundredth, must be:

P(AorB) = P(A) + P(B)

= 0.2 + 0.5

= 0.7

Since it says A or B, you can understand from the word or that the two must be added together.

Therefore the answer is:

0.7

5. Including Peter and Deanna, a particular school council has 10 committees, each containing four members, are chosen from this council. Find the probability that:

a) Peter and Deanna are both chosen for the committee. 

2C2 * 8C2

 ----------------  = 2/15

     10C4 

well the 2C2 stands for both Peter and Deanna and the two ways that they can be together and we multiply that by 8C2 because out of the 8 people that can be in the the two committees of 4 we want Peter and Deanna together and its divided by 10C4 since that is all the possibilities that out of the 10 people the 4 to be chosen for the committee.

b)Either Peter or Deanna is chosen for the committee.

2C1 * 8C3

    ----------------  = 8/15

   10C4

we use the 2C1 because out of Peter and deanna we only want one of them for the committee, and then it is multiplied by 8C3 because there are 8 people left not including Peter and Deanna and we only want 3 of those people to be in the committee with one of them. It is then divided again by 10C4 for the same reasons.

c) Neither Peter nor Deanna is chosen for the committee.

8C4

    -----------  = 1/3

       10C4

well since we dont want neither of them we just multiply by the rest of the people left over for the committee of four and divide it by all the possible combinations.

okay well i hope i did a good way of going over the pre-test and described everything well for everyone. And the next scribe post will be done by:

SEZY.... luckily you get to wait until after the test tomorrow =)

BoB

Dear BOB,

First of all, the Pre-test today in class seemed pretty easy but I know it's gonna be different tomorrow during the real Test. I'm expecting a harder long answer questions and 4 pages of test papers.
So, now here's my BoB. Well, today we went over some Probability questions from people and the one thing that really helped me alot is the difference between nPr and nCr. I think nPr means, an arrangement of the elements of a set in some order and nCr means a combination is an un-ordered collection of unique elements. So, that's the only thing I'm having trouble with. I'll try to do more exercises to really understand the concept of nCr and nPr. The one thing I truly understand is the Pascal's triangle. It gives me an idea of what to do next by using a pattern.
Well, I guess that's my BOB for this unit which is about Probability. I expect(fingers crossed) to get at least 80% on the test and the probability of me passing is 80/100 which is 8/10 when simplified. And the probability of Applied Mathers doing their BOB is 20/25 which is 4/5 when simplified. That's all and Good Luck Y'all. Ya dig?

BOB

Hi guys, how was the pre-test this morning? I think it's kind of tricky , especially question 5 ,you can see the answer for that question on today's slide ( March 10 slide 6) . The key for that question is the "Choose" formula , which makes me so confused xD.I hope you guys learned how to use the "Choose" formula to solve those kinds of questions. In the "Choose" formula , order doesn't matter.
That's why we have 10C4 : number of ways to choose 4 from 10 people, and 2C2 : number of ways to choose Deanne and Peter , 8C2 : number of ways to choose 2 another people for the group from 8 people left. We'll get (2C2*8C2)/10C4 as the result of question a , like Mr.K did.
Hope you guys will do better in the test tomorrow.Good luck

Hey its Michelle and this is my BOB. This unit was based on probability and I found that this unit was more difficult than matrices. The one thing that I'm struggling with in this unit is mutually and non mutually exclusive events, especially in word problems. How do you know when an event is mutually exclusive or not. Are there any key words in the problems that give us hints, and if so what are they? I think that my path to success in this class could be better. I do all my work in class but I need to keep that drive out of school as well. One thing that I think would definitely help me out is if I were to do my homework more often. This way I can get more practice in at the unit we are learning and then I'll be able to understand the material better.

Today's Slides: March 10

Here they are ...

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BOB

GAH! I'm so late for the homework... -_-"! Probability is probably my strongest unit... *ahem *cough. So... what makes nCr and nPr different? (not just the letters). Good luck!

BOB!

Aw, i just saw the last slide now. That really sucks that i won't be getting a bonus mark! I had a family friend party on saturday and then i did some grocery/essential shopping with my mommy today and didn't get home until 7pm. Stupid daylight savings time! :( .. aah ohh well .. now i know for next time. Hopefully Mr. K does this again :) .. haha.

Anyways, back to my BOB. I thought that the probability unit was challenging for me. Just because out of everything in math .. probability is my weakest unit. For sure, I am going to need alot of extra help and studying to do for the test on tuesday. Hopefully I don't blank out on it :S

I would really like to review on everything we did on probability for tuesday's test, just to make sure i understand what i am doing and to hopefully have a good decent mark on the test.

yay extra mark on the test =)..... okay well when it comes to probability i find that i over think the problems, i mean mr.k did say how hard it is so i think there must be a crazy amount steps to get the answer...i think probability makes me nervous because i have no idea if im doing it right or not. especially when it comes to those word problems, i find i dont do the steps correctly and end up messing up a bunch of times. im hoping that tomorrow when we do the pre-test i will be able to find out where i go worng and try to perfect it. not to mention i have no idea when to use nPr or nCr ....

Homework Mark

Thanks for the bonus mr. k! i was actually skimming through the slides on a quest to find what makes nPr and nCr different (not just the letters). everything is tender now, ill cya all tomorrow!

-Alvin G.

Uhmm.....I think probability is harder than Matrix,and some of the important things we should know are C formula and P formula
P formula : the order is important (00 and 00 : difference ==> 2 ways)
C formula : the order is not important (00 and 00 : same ==> 1 way )
That is the difference between C and P , and remember review anything we studied in class....Good luck

Homeworkless

Dear Applied Math-ers,

I'm having trouble on the Friday's homework on the last slide. Can anyone please help me?LOL! naatt! Good thing I check the slides everyday. Thanks Mr. K(Kewl) for the easiest homework that you gave us. IT's challenging but easy. I don't know what to type so just keep doing your probability exercises and you will ace the test. Latur Terminator.(Arnold?)

well well well .. HM, the probability unit was OK. Just somethings i still kind of have trouble with. I just need to review some of the things and i think that I'll be fine... hopefully :).
Later Alligators (=

Good Luck!

"HOMEWORK MARK"

haha renan.. this homework is mad hard.. MR. K, i think i'm going to need help with this weekend's homework haha. well anyways, for the probability unit we have learned a lot and well i think i need to review everything for me to know what i need help with so i'll be back... toodles!

Homework comment

Mr. K, this homework is impossible (haha). And yes, you read my mind, those were my exact intentions. Everyone else, good luck with it.

So ok, there is my comment on the homework.