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hm0ng is a girl!

ironblade87

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2ywzn6o.jpg
 
Ignore the random math stuff in the background please.
 
Currently Active Users Viewing This Thread: 5 (5 members and 0 guests)
ironblade87+, Darkgroove, ET Phone Home, hm0ng

OH SHI-
INVSIBUL STAF
 
Problem 4/10. A bag contains
1993
red balls and
1993
black balls. We
remove two balls at a time repeatedly and
(i) discard them if they are of the same color,
(ii) discard the black ball and return to the bag the red ball if they are different
colors.
What is the probability that this process will terminate with one red ball in
the bag?
Problem 5/10. Let
P
be a point on the circumcircle of
4
ABC
, distinct from
A; B
, and
C
. Suppose
BP
meets
AC
at
X
, and
CP
meets
AB
at
Y
. Let
Q
be the point of intersection of the circumcircles of
4
ABC
and
4
AXY
,
with
Q
6
= A
. Prove that
PQ
bisects the segment
XY
. (The various points
of intersection may occur on the extensions of the segments.)
 
Problem 4/10. A bag contains
1993
red balls and
1993
black balls. We
remove two balls at a time repeatedly and
(i) discard them if they are of the same color,
(ii) discard the black ball and return to the bag the red ball if they are different
colors.
What is the probability that this process will terminate with one red ball in
the bag?
Problem 5/10. Let
P
be a point on the circumcircle of
4
ABC
, distinct from
A; B
, and
C
. Suppose
BP
meets
AC
at
X
, and
CP
meets
AB
at
Y
. Let
Q
be the point of intersection of the circumcircles of
4
ABC
and
4
AXY
,
with
Q
6
= A
. Prove that
PQ
bisects the segment
XY
. (The various points
of intersection may occur on the extensions of the segments.)

Help me do it then. D:
http://www.cms.math.ca/Competitions/IMTS/imts10.gif

#4 please.
 
bumped for the lulz.

Edit: SHREDDERBEAM WAS HERE, HAHA.
 
omg im in that picture im so flattered
 
Well isn't this an interesting spin on the gender of Hm0ng! I always thought of him as some old guy since on Dynasty Warriors there was some old ass guy with a bow called something similiar to Hmong. Random i know, but when you have no other image in your mind for someone, you gotta think of something.
 
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