Plz help.. Will give Medal and Fan
The sample space for a roll of two number cubes is shown in the table.
What is the probability that the roll will result in both numbers being the same?
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OpenStudy (anonymous):
OpenStudy (anonymous):
Choices are
1/6
1/3
7/18
2/3
OpenStudy (justin_lee):
So, what fraction of the total amount of options is there a double number?
OpenStudy (anonymous):
I don't know.. I'm not good at this
OpenStudy (anonymous):
I really need help on Probability
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OpenStudy (justin_lee):
Okay. Let's break it down then. How many double numbers do you count in that table?
OpenStudy (justin_lee):
List them out for me.
OpenStudy (anonymous):
Ok
One second
I'm still looking
OpenStudy (anonymous):
I don't get it.. I see nothing similar in the table
OpenStudy (anonymous):
This is the table
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OpenStudy (justin_lee):
I just mean the numbers in which both dice are the same. Like (1,1) or (2,2).
OpenStudy (justin_lee):
I have done two for you. Find the others. There are four more.
OpenStudy (anonymous):
Oh
OpenStudy (anonymous):
3,3
4,4
5,5
6,6
?
OpenStudy (justin_lee):
Yup. So now we have (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). That makes 6 of these double number pairs, right?
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OpenStudy (anonymous):
Yes
OpenStudy (justin_lee):
Okay. Now how many items are there total in the sample space? (1,1) Is one item. (1,2) is another item.
Hint: multiply the number of rows by the number of columns.
OpenStudy (anonymous):
@Justin_Lee
OpenStudy (anonymous):
Here you go @Justin_Lee
OpenStudy (anonymous):
@jim_thompson5910
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OpenStudy (anonymous):
Sorry I keep posting the wrong name
OpenStudy (anonymous):
Do you think you can help me? I need it now..
OpenStudy (anonymous):
Here is the table
jimthompson5910 (jim_thompson5910):
you found that there are 6 items in the sample space:
(1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
how many total items are there total? In other words, how many ways are there to roll 2 dice?
OpenStudy (anonymous):
6?
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OpenStudy (anonymous):
I'm sorry I don't get it
jimthompson5910 (jim_thompson5910):
look at how many ordered pairs you have in the ENTIRE table
OpenStudy (anonymous):
36
OpenStudy (anonymous):
so is it 1/6?
jimthompson5910 (jim_thompson5910):
yes 6/36 = 1/6
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OpenStudy (anonymous):
Thank you
OpenStudy (anonymous):
I could of gave you the best response but I already gave it Justin_Lee
jimthompson5910 (jim_thompson5910):
that's fine
OpenStudy (justin_lee):
Sorry. I just noticed this now. I'm glad you got the right answer though!