find the probability of spinning each of the following

- anonymous

find the probability of spinning each of the following

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- GoldPhenoix

So what's the following?

- anonymous

##### 1 Attachment

- anonymous

P (7)

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## More answers

- anonymous

P (not 7)

- anonymous

P(a factor of 12)

- anonymous

P(a multiple of 2)

- GoldPhenoix

So there's 8 outcome. Or: \[\large \large \frac{ x }{ 8 }\]
Let's try the first one. What is the probability of getting a 7? Well, I only see one 7 in the whole circle. Or: \[\large \large \frac{ 1 }{ 8 }\] There's a 1/8 chance of getting a 7.

- anonymous

ok

- GoldPhenoix

For number 2, you just do the opposite of what you did for number 1. If there's one 7 out of the 8 outcome, then that mean the rest of hte outcome is not 7. Or: \[\large \large \frac{ 7 }{ 8 }\]

- GoldPhenoix

What is the probability of getting a factor of 12. Well let see, the factor of 12 is 1, 2, 3, 4, 6, and 12.
How many one do I see? Well I see one 1.
How many two do I see? Well I see one 2.
How many three do I see? Well I see one 3.
How many four do I see? Well I see one 4.
How many six do I see? Well I see one 6.
How many 12 do I see? Well I see zero, since the highest number I see is 8.
So there's 5 outcomes; 5 outcomes out of the total outcomes, or: \[\large \large \frac{ 5 }{ 8 }\]

- GoldPhenoix

What is the probability of getting a multiple of 2. Well, what is the multiple of 2. Now, I can't say all of the multiple of 2, since there's an infinit amount. So let's do a few multiple of 2. 2, 4, 6, 8, 10 are multiple of 2.
How many two do I see? Well, I see one 2.
How many four do I see? Well, I see one 4.
How many six do I see? Well, I see one 6.
How many eight do I see? Well, I see one 8.
How many ten do I see? Well, I see zero, since the highest number I see is zero.
Now there's 4 outcomes; 4 outcomes out of the total outcomes, (8) So the probability of getting a multiple of 2 is: \[\large \large \frac{ 4 }{ 8 }\] Now you can simplify that probablity by dividing the numerator and denonimator by 4. This will give the fraction: \[\large \large \frac{ 4 }{ 8 } = \frac{ 1 }{ 2 }\] I hope this help!

- GoldPhenoix

"How many ten do I see? Well, I see zero, since the highest number I see is zero." I meant the highest number I see is 8. My bad. >_>

- anonymous

which event has the greatest likelihood
spinning 7
spinning not 7
spinning a multiple of 2
spinning a factor of 12

- anonymous

you are the best!:D

- GoldPhenoix

Well, to answer this. You want to look at the fraction that has the greatest value. Or a fraction close to 100%, which mean always sucess. We know that spinning a 7 is a 1/8 chance. That's so low compare to the probability of spinning a number that is not 7, 7/8. 7/8 is almost 100% . 7/8 is actually 87.5% We defineitly know that the probability of spinning a number other than 7 is greater than the probability of spinning a 7.
Let's check the other. We know that the probability of spinning a multiple of 2 is 5/8. Is 5/8 greater than 7/8? Obviously not, you can actually tell just by looking at the denonimator and numerator. The denonimator are the same, so you just have to compare the numerator. Which numerator is bigger? It's the 7/8.
The probability of spinning a factor of 12 is 1/2. 1/2 is half or 50%. 87.5% is greater than 50%.
This mean that the probability of spinning a number other than 7 has the greatest likelihood.
I hope this help!

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