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oksano4ka [1.4K]
3 years ago
7

Morgan rolls two fair dice at the same time. What is the probability that the dice will add up to 10?

Mathematics
2 answers:
Len [333]3 years ago
5 0
The probability will be 3/36
marishachu [46]3 years ago
4 0
Hello!

First of all we need to see all of the numbers she could roll to make a ten.

4+6
5+5

Let's look at the first equation. There is a 1/6 chance of rolling a four and a 1/6 chance of rolling a 6. This makes it a 1/36 chance of rolling these two numbers.

We have a 1/6 chance of rolling a 5 on both dice. This also gives us a 1/36 chance. 

If we add these two probabilities together we get 2/36, or 1/18. This could also be written as 5.56%.

I hope this helps!
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Hey there!

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Use the diagram of point O. What is the length of OY to the nearest 10th of an Inch? XZ = 10 and OX= 10
Lady bird [3.3K]

From the diagram above,

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we are to find length of OY

XZ is a chord and line OY divides the chord into equal length

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To find OY we solve using pythagoras theorem

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applying values from the triangle above

\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}

Therefore,

Length of OY =

5\sqrt[]{3}

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