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

January 22, 2007

scribe post: Exam Rehearsal Probability

Hello guys!!!!!
Our topics in mathematics just ended. For us it is a relief but we must always put in mind that learning in a never ending process so there are still maths stuffs out there waiting for us. Anyway, this morning we did a rehearsal examination in probability. Mr. K gave us 30 minutes to work on it then after that we had a group discussion where we talked about our answers and did some brainstorming. Afterwards, Mr. K discussed with to us the right answers with their respective solutions. The questions given are:

(1) A certain soccer player has scored on 82% of his penalty kicks throughout his career. Given this information, the probabality that he will score on exactly 4 of his next 5 penalty kicks, correct to the nearest hundredth, is

(a) 0.80
(b) 0.66
(c) 0.41
(d) 0.08

The answer is (c) 0.41 because the solution for this problem is




(2) If P(A) = 3/4 and P(A and B)= 1/2, where A and B are dependant events, then P(BA) equals:

(a) 1/4
(b) 3/8
(c) 2/3
(d) 5/4

The answer is (c) 2/3. The problem indicated that A and B occured in dependant events, which means that both have to happen.


Solution:



P(A) * P(B) = 1/2



3/4 * P(B) = 1/2



P(B) = 1/2 * 4/3



P(B) = 2/3


(3) Peter places 5 equal-sized tiles in a cloth bag. Each tile has a letter on it. The letters are P, E, T, E and R. The probability that Peter selects the 5 tiles, one at a time, in order such that they spell PETER, correct to the nearest hundredth, is




The answer is 0.02.
>


(4) A child 2 quarters, 2 dimes, and 3 nickels in his pocket, but he does not understand the value of any of the coins. He puts 35cents worth of candy on the counter at a store and randomly selects two coins from his pocket. The probability that the two coins he selects will have a total at least as high as the value of the candy is:




(5) It is known that 53% of graduating are boys. Three are chosen at random. Given that at least two of the three grads are boys, determine the probability that all three of the grads are boys. ( Answer accurate to at least 4 decimal places. )




Well that's all folks.....
The next scribe is JESSICA!!!!!!!!
I already told her that she is next scribe...
Anyway guys, good luck to all...
May the good news be ours after the provincial exam....
God bless us all!!!!!!!!!



January 16, 2007

Scribe post

Hey everyone its Tennyson ,well today we just did some questions but i was unable to finish. i will just put down the one that we did only.The next scriber can carry out the other questions.

1). List the 1st four terms in each sequence

a).tn= 3(n-1)
b).tn=(n-1)2
c).tn=2(power of)n-1


a).tn= 3(n-1)



  • -tn=3(1-1)
  • -tn=3(0)
  • -tn=0

  • -tn=3(2-1)
  • -tn=3(1)
  • -tn=3

  • -tn=3(3-1)
  • -tn=3(2)
  • -tn=6



  • -tn=3(4-1)
  • -tn=3(3)
  • -tn=9

Answer:0,3,6,9

b).tn=(n-1)2



  • -tn=(1-1)2
    -tn=(0)2
  • -tn=0

  • -tn=(2-1)2
  • -tn=(1)2
    -tn=1

  • -tn=(3-1)2
  • -tn=(2)2
    -tn=4

  • -tn=(4-1)2
  • -tn=(3)2
    -tn=9

Answer: 0,1,4,9

c).tn=2(power of)n-1



  • -tn=2(power of)1-1
  • -tn=2(power of)0
  • -tn=1

  • -tn=2(power of)2-1
  • -tn=2(power of)1
    -tn=2

  • -tn=2(power of)3-1
  • -tn=2(power of)2
  • -tn=4

  • -tn=2(power of)4-1
  • -tn=2(power of)3
  • -tn=8

Answer: 1,2,4,8

Later on , we talked if the question was a Geometric sequences ,Arithmetic sequences, or neither.

a).This question is an arithmetic sequence because when the number is the same ,you add or subtract from each of the numbers to get the next number in the sequence.

b).This question is neither because They dont involve in multiplying ,divid,adding,or subtract , it just does have the patterns like the other sequences.

c). This question is an geometric sequences, because the common ratio is a number that you can multiply term in order to get the other next term like,Also can be divided by the previous term.

Those question are all related to a graph,tables, and many other things


next person is ricardo , but the list was confusing so yeah , hope u didnt do 4 scribs

by3by3by3





January 15, 2007

Probability Quiz


Here is it! You have until midnight tomorrow to complete it. We'll talk about in class on Wednesday morning. The test is Wednesday afternoon.

Learn Hard!

Wouldn't it be nice if the world really worked like this ... ;-)



January 08, 2007

Peter Donnelly

Oxford statistician Peter Donnelly explores the common mistakes humans make in interpreting statistics, and the devastating impact these errors can have on the outcome of criminal trials.

You learned the math he's talking about here today.

Click on the picture. (22 min. 6 sec.)

December 18, 2006

Probability and math dictionary notes on it

Hey it's Ashley and I'm the scribe for today!
In the morning we started our new unit Probability. Mr.K said that Pascal invented Probability and its the same Pascal that did the Pascal's Triangle.
Mr.K asked us "What can happen if you roll six-sided die?"
Well you could get 6 possible answers. (i forgot what he said oops)

Soon we were asked "What can happen if you flip a coin twice?"
What you could do is draw a tree diagram



Next question was a family of two children - "What is the probability they have one of each, a boy and a girl?"
Draw the tree diagram.

That question and the flipping of the coin question are the same.

Next was "What if you roll a die twice?"
You could for the question draw a tree diagram but that would be too complicated so instead you could draw a table.

Last question was "What if you flip a coin and roll a dice?"
Mr. K made us draw a table and a tree diagram.

Towards the end of the period Mr.K handed us 2 booklets. One was yellow and one was green. Their both from the June 2005 exam. The title for this assignment is drum rolls please..... Go for Gold!!!

For this assignment you must:
- get 100% on it.
- complete the two booklets with no mistakes or errors.
- show all work including for the multiple choice questions either by writing a sentence explaining yourself but don't write a book. If there is no work shown or a sentence you get 0.
- must write in pencil! no pen or else you get 0.

In Go for Gold there are only two possible marks available. 0 and 100. It's worth 5% on our final class mark. Due on the Friday we get from winter break and you may get help from others and Mr.K.

In the afternoon Mr. K went over the questions on the quiz. If you want to see which ones you got right or wrong you could check now because it will show the answers. Mr.K got a question wrong on "Determine the foci of the hyperbola (y2/16) - (x2/25) = 1" by placing the answer on the wrong letter so that question won't count.

Next we took some notes down into our Math Dictionary

Probability

Probability: the branch of mathematics that deals with chance.
Sample Space (Ω): the set of all possible outcomes for a given "Experiment" represented by capital omega Ω.
Event (E): A subject of the sample space. A particular occurence in a given experiment.
Simple Event: The result of an experiment that is carried out in a single step.
Example: Flip a coin. The result is heads
(a simple event)
Compound Event: The result of an experiment carried out in two (or more) steps.
Example: 1. Flip a coin and roll a die - 6
The result is {H,6}
2. Flip a coin twice.
The result is {H,T}
Probability of an Event: (suppose to be sides to the box below but i don't know how to draw a rectangle so just put a box around it, i only managed the top and bottom borders)

_________________________________________________________
P(E) = number of favourable outcomes


Total number of possible outcomes (sample space) ________________________________________________________


Probability can be expressed as:
- a Ratio
- a Fraction
- a Decimal
- a Percent


(rectangle box below but i only got the top and bottom border, not the sides)
IMPORTANT: Probability of any event is always a number between 0 and _______________________________________________________________


Certain Event: an event whose probability is 1
example: roll a die - 6 and get a result less than 10
Impossible Event: an event whose probability is 0.
example: roll a die - 6 and get a 7
Complimentary Event: the compliment of E is E',
If P(E) = a then P(E') = 1-a
example: Given a standard deck of cards, a card is drawn at random.
P(spade) = (13/52) = (1/4) P (not a spade) = 1 - (1/4) = (3/4)


And that was the end of the math dictionary notes


Mr. K recommended we visit these sites:


math40s.com because it has the entire curriculum on it and some other stuff on it which I forgot but apparently it's a very good site.
webct.merlin.mb.ca because it too has the entire curriculum on it. you need to log on to this site.
username: demo
password: demo
it asks if you trust this site I think and you say yes.
both sites are good for reviewing.


** Don't forget to check the rubric for the Flickr assignment and leave your comments and what you like and what you want to change because the Rubric will be finalized on Friday. To leave a comment just press the Insert Comment button. The next Flickr assignment is on Exponential function which is due the Tuesday after winter break. The tag will be expfunc.
So that's it for my scribe.


Homework assignment is Ex.39 by the way.


Next scribe is........ well you know who you are *cough*Oliver*cough*