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Mathematics 10 Online
OpenStudy (anonymous):

HELP WITH 2 QUESTIONS PLEASE! WILL MEDAL AND FAN!

OpenStudy (anonymous):

OpenStudy (michele_laino):

I think that the probability is equal to the ratio between the area of region II, namely 8 little squares over the total area, namely 22 little squares , so: \[probability=\frac{ 8 }{ 22 }=\frac{ 4 }{ 11 }\]

OpenStudy (anonymous):

so A

OpenStudy (michele_laino):

please, note that the above procedure is based on the classic definition of probability, namely: probability= ratio between favorable cases over possible cases. Yes I think A. Please, tell me if my reasoning is clear for you!

OpenStudy (perl):

assuming each point is equally likely :)

OpenStudy (michele_laino):

I give you a useful reference: I.M. Sobol "The Monte Carlo Method", Mir Publishers Moscow, 1984

OpenStudy (michele_laino):

that's right! @perl

OpenStudy (perl):

I would like to read that, if thats online

OpenStudy (perl):

for part b) you are given that you land in Pennsylvania

OpenStudy (michele_laino):

Yes I think, I found it on line, please wait a moment, I'm searching for it....@perl

OpenStudy (anonymous):

are you working on the second question?

OpenStudy (michele_laino):

no, I search for that little book, for you, please, continue @perl

OpenStudy (michele_laino):

I got, here it is: https://archive.org/details/TheMonte-carloMethodlittleMathematicsLibrary @perl

OpenStudy (michele_laino):

for your second question, we have to calculate this ratio: \[probability=\frac{ water-area }{ water-area+ Land-area }=\frac{ 1239 }{ 1239+44817 }=0.027\]

OpenStudy (michele_laino):

Note that, in this second case I have applied the classical definition of probability

OpenStudy (anonymous):

Thank You! may you please help me with 1 more?

OpenStudy (michele_laino):

yes!

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (michele_laino):

please, you have to apply the same reasoning that I used in the two above exercises, namely: probability=(favorable area)/(total area)

OpenStudy (anonymous):

sorry its 3mt not 2mt

OpenStudy (michele_laino):

please try! @Pamela16

OpenStudy (michele_laino):

what is the area of the blue circle?

OpenStudy (michele_laino):

and what is the area of the rectangle?

OpenStudy (michele_laino):

please, calculate them!

OpenStudy (anonymous):

I got 0.74

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