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Q
uantitative
R
easoning &
P
roblem
S
olving
126
© 2014 Pacific Crest
T
roubleshooting
Find the error and correct it!
Identify the error and provide a correction:
Gina won the state lottery in 1998. The chances of that, everyone agreed, were incredibly slim. When
she won the state lottery
again
in 2011, there was a media storm — most folks were sure the game had
been rigged. But it really hadn’t; Gina had just been lucky. Her husband, Shane (often referred to as
“Mr. Lucky”), was interviewed about it. He explained the likelihood of Gina’s accomplishment like this:
“Oh, sure, the chances of winning the lottery once are almost impossible. But the chances of
winning it twice are a lot better...after all, there are a much smaller number of lottery winners
and her odds of a second win are 1 against however many are in
that
population of winners.”
M
aking it Matter
Solving problems in your life
●
Build a model for week before finals to determine likelihood of major deadlines occurring on the
same day as another project or a final exam.
●
You have entered a super bowl pool
that allows you to pick a square out
of 100 squares (see the example
at right). The columns represent
the last digit of the score of team
1 while with the rows represent
the last digit of the score of team
2. Given what you know about
football scores, which digits should
you pick and why?
Team1/Team2 1 2 3 4 5 6 7 8 9 0
1
2
3
4
5
5,6
6
7
8
9
0
L
earning to Learn Mathematics
Reflecting on and appreciating your learning
1. How much should you trust intuition in learning mathematics?
2. What is the difference between intuition and prior knowledge?
3. How do you validate that your intuition is trustworthy?
A
ssessing Your Performance
Assessing your performance as a learner
Review the description of
A Successful Performance
and assess your own performance against the
standard offered there.
●
How and why was your performance
SUCCESSFUL
?
●
How can you
IMPROVE
your performance, making it more successful? What
concrete steps
do you
need to take to make each improvement?