HELP PLZ
Each of the 50 states has two senators. In order for a bill to pass, it must have at least 50 votes. Suppose a bill passes with the minimum number of votes. Compute the probability that at least one Texan senator voted yes.

Question

anonymous · Answer

does that mean compute the probability ?

rizags · Answer

yes

rizags · Answer

and the fact that he is texan has nothing to do with anything (just saying)

rizags · Answer

yes

anonymous · Answer

i think that maybe we pass to the compliment, what is the probability that no texas senator votes yes 
this is kind of a weird question, dons’t really relate to probability, more to combinatorics

rizags · Answer

yes i think it is more in the realm of combinatorics

rizags · Answer

im not sure how to interpret the statement "at least one"

rizags · Answer

is that the same as finding the probability that one senator voted yes, or that both voted yes

anonymous · Answer

the simple minded and probably wrong way to think about it is that the probability that any senator voted yes is $\frac{1}{2}$ so the probability that at least one texas senator voted yes is $\frac{3}{4}$ but i would not bet any money on this answer

rizags · Answer

wait one sec. I have another question, i must answer one of these two.

anonymous · Answer

i have to add that this question assumes something that is completely incorrect, namely that their votes are independent, which is simply a false assumption

rizags · Answer

Suppose that f and g are quadratic functions with f(8)=f(9)=100 and g(2)=g(4)= -20 and f(5)+g(0) is not equal to 0. Compute $$\frac{ f(12) + g(6) }{ f(5) + g(0) }$$

rizags · Answer

could you help me with this one then

anonymous · Answer

yeah i can do that the bone headed way for sure
since apparently it doesn't matter what the actual function is we can make one up

anonymous · Answer

$$g(2)=g(4)=-20$$ means that the function is symmetric about $x=3$ so $g(6)=g(0)$

rizags · Answer

ok, makes sense, thanks. what can i do for f?

rizags · Answer

is this one symmetric about x=8.5?

anonymous · Answer

maybe the same thing?  that one has 
$$f(8)=f(9)$$ so that one is symmetric about $x=8.5$ right

anonymous · Answer

that means that (i was hoping this would work) that 
$$f(5)=f(12)$$ since $8.5$ is right in the middle

anonymous · Answer

hence the numerator equals the denominator

rizags · Answer

OHHHHHHHHHH, so if i define f(5)=f(12)=x, and g(6)=g(0)=y, then i get the equation $$\frac{ x+y }{ x+y }=1$$

rizags · Answer

right?

anonymous · Answer

yup

rizags · Answer

THAAAANKs!!!!!