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Dvinal [7]
3 years ago
6

Donna and Kaia are playing a game involving two fair number cubes with faces labeled 1 through 6. If Donna tosses a sum of 8 on

her next turn, she wins the game. Otherwise the game continues.
What is the probability that Donna will win on her next turn?
Mathematics
1 answer:
Rainbow [258]3 years ago
5 0
To get a sum of eight the first die must be 2 or greater and the second die must be one specific value that makes the sum equal to 8 with respect to the first die.

So the probability of Donna winning on her next turn, rolling a sum of 8 is:

(5/6)(1/6)=5/36    
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3 years ago
How you would convert the repeating, nonterminating decimal to a fraction? Please EXPLAIN the process as you solve the problem,
zmey [24]
Okay, here we go.

With simpler decimals, this is a bit easier so I'll explain that first to make sure you get the basic idea. 

Let's say you had a decimal for .75 and wanted to create the fraction mathematically. To do this you would:

First divide the decimal by 1 so .75/1
Then multiply be a multiple of 10 that eliminates the decimal so in this case 100
so you now have 75/100
When you simplify that fraction by dividing by 25, you of course get 3/4

Now on to your more complicated question:

Let's assign a variable to your repeating decimal so:

x=.1515151515

Now, let's identify the repeating digits, here they are .15

Move one set of the repeating digits in front of the decimal  so now we get:

100x=15.1515151515

Now you have two equations, they are:

x=.1515151515
100x=15.1515151515

Combine the equations into one equation:

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15/99
simplify and you get 5/33





6 0
3 years ago
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