+0  
 
0
996
4
avatar+91 
   Red  Blue  Green  Total
 Small  7  1  3  11
 Medium  8  5  10  23
 Large  3  1  2
 Total  18  7  15  40

What is the conditional relative frequency of a given green being small?

~~~~~~~~~~~~~~
At first, I thought it would be 3/11 or .27 repeating, but apparently that's wrong.

If possible, could someone explain why my answer is wrong and their's is right? Am I wrong because 3/11 represents only a portion of the green shirts instead of all of them? Would it be 3/15 because it represents all of the green shirts?

             Thanks a bunch,

                            Thea

 Jan 14, 2015

Best Answer 

 #2
avatar+118677 
+10

Well I am no expert either but I would go for 3/15

Because it says that the ball is green and only 15 fit that description.

The chance of it being small as well  is 3/15

-------------------

 Jan 15, 2015
 #1
avatar+129852 
+5

 

 

 

all-them-marvel-feels....I'm not well-versed in this, but i believe the answer is given by the number of occurences in each separate category, divided by the the total number of occurences.....

So we have    ....   [ small, green ] / [ total occurences ]  = 3 / 40

Each of these fractional occurences in each separate category would, when added together, equal 1 .....this makes sense... and note that the "total" fractional occurences with respect to the colors would be [ 18 + 7 + 15 ] /40  =40/40 = 1 ...which also makes sense....the same result would be obtained with respect to the totals for the sizes.. [ 11 + 23 + 6] / 40  = 40 / 40 = 1

 

 Jan 14, 2015
 #2
avatar+118677 
+10
Best Answer

Well I am no expert either but I would go for 3/15

Because it says that the ball is green and only 15 fit that description.

The chance of it being small as well  is 3/15

-------------------

Melody Jan 15, 2015
 #3
avatar+129852 
0

Yep...after reading the question again, I believe Melody's answer is the correct one......disregard mine....it would only be correct if we were talking about all the occurences...not just the green ones....

 

 Jan 15, 2015
 #4
avatar+91 
+5

~ Sorry for taking so long to check your awswers. I emailed a friend who took the same test and 3/15 was marked correct on hers, so I went with that. Thanks for the help!

 Jan 15, 2015

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