1.
The possible outcomes for rolling a pair of fair dice are shown below.
What is the probability of rolling a sum that is a composite number?
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OpenStudy (anonymous):
do you know what "composite number" means ?
OpenStudy (anonymous):
OpenStudy (anonymous):
no
OpenStudy (anonymous):
lol then you can't do it !
OpenStudy (anonymous):
but i will tell you
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OpenStudy (anonymous):
a composite number is a whole number that can be written as a product of two other whole numbers (not including itself and 1)
another way to say it is a composite number is NOT a prime number
OpenStudy (anonymous):
does that help?
OpenStudy (anonymous):
i never understood composite and prime numbers no matter how much sombody tried to explain it to me
OpenStudy (anonymous):
here is an example
6 is composite because \(6=3\times 2\)
7 in prime, because it only has itself and 1 as a factor
OpenStudy (anonymous):
oh so sorta like odd and even?
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OpenStudy (anonymous):
that is really all there is to it
the only part that might be confusing is that 1 is not prime or composite, and 2 is prime
yeah sort of but even odd only means divisible by 2
9 is composite because \(9=3\times 3\) but it is not even
OpenStudy (anonymous):
the numbers you have to consider are
\[\{2,3,4,5,6,7,8,9,10,11,12\}\] can you tell which ones of those are composite and which are prime?
OpenStudy (anonymous):
the choices for my question are A:7/12, B:1/2,C:5/12,and D:1/12
OpenStudy (anonymous):
i forgot to put those up when i asked the question sorry
OpenStudy (anonymous):
i am not interested in choices particularly
more interested in if you know which numbers are composite
then it is only a matter of counting
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OpenStudy (anonymous):
idk what the answer is tho
OpenStudy (anonymous):
let me ask one more time
of the numbers \[\{2,3,4,5,6,7,8,9,10,11,12\}\] which are composite?
OpenStudy (anonymous):
that is all you need to know to do this
that, and how to count
OpenStudy (anonymous):
well i know how to count lol
OpenStudy (anonymous):
the reason im trying to get the answer is cause studyisland closes tomorrow and i need the answer as fast as i can get it and im under alot of pressure i only have 5 more days of school to get my grade up
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OpenStudy (anonymous):
name the composite numbers, we get the answer in two seconds after you name them
study island? geez
OpenStudy (anonymous):
im in seventh grade its alot harder they make us do like 9th grade work
OpenStudy (anonymous):
i will show you what do do as soon as you name the composite numbers
if you cannot do that, there is no way you can do this question, might as well forget it
OpenStudy (anonymous):
then i guess i might as well forget it then
OpenStudy (anonymous):
want to take them one at a time?
i will start
2 is prime
3 is prime
how about 4?
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OpenStudy (anonymous):
prime?
OpenStudy (anonymous):
no \(4=2\times 2\) all even numbers except 2 are composite
OpenStudy (anonymous):
how about 5?
OpenStudy (anonymous):
composite
OpenStudy (anonymous):
no 5 is prime, it has no factors other than 1 and 5
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OpenStudy (anonymous):
6?
OpenStudy (anonymous):
composite
OpenStudy (anonymous):
yers!
OpenStudy (anonymous):
7?
OpenStudy (anonymous):
prime?
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OpenStudy (anonymous):
yes 8?
OpenStudy (anonymous):
composite
OpenStudy (anonymous):
yes
9? (we did this one)
OpenStudy (anonymous):
composite
OpenStudy (anonymous):
whew yes
10?
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OpenStudy (anonymous):
composite
OpenStudy (anonymous):
yes
11
OpenStudy (anonymous):
prime
OpenStudy (anonymous):
yes
12
OpenStudy (anonymous):
composite
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OpenStudy (anonymous):
ok now we are almost done!!
OpenStudy (anonymous):
we list the composite numbers, then count how man times we see them in the table you posted
they are
\[\{4,6,8,9,10,12\}\]
OpenStudy (anonymous):
how many 4's inside the table?
OpenStudy (anonymous):
3?
OpenStudy (anonymous):
yes good
how many 6's?
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OpenStudy (anonymous):
2
OpenStudy (anonymous):
hmm no count again
OpenStudy (anonymous):
3
OpenStudy (anonymous):
keep counting
OpenStudy (anonymous):
oh 4
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OpenStudy (anonymous):
there are more than 3 sixes in the table
OpenStudy (anonymous):
5
OpenStudy (anonymous):
there are more than 4
they all lie on a diagonal
right 5
OpenStudy (anonymous):
how many 8's
OpenStudy (anonymous):
2
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OpenStudy (anonymous):
hmm no
all the 8's on a diagonal
OpenStudy (anonymous):
4
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
counting was supposed to be the easy part
do you see all five 8's?
OpenStudy (anonymous):
igtg my moms taking me to a bon fire but i will be working on this later but thank you for your time and effort and im sorry was any trouble but it was nice talking to u bye
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