ANSWERS TO THE QUIZ.
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1. Intentional
2. Titan is one of
the moons of the planet Saturn. It is the
second
largest satellite in the solar system.
3. One way is to try
different numbers. Anther way is to make a
graph of assumed numbers
and the calculated results to see when they
are equal. Or Find
x such that Square root(2x+3)=x
2x+3=x^2
(x-1)^2=4
x-1=2
x=3 (answer)
4. It is simpler to
think of the odds of not having a match. After 8
socks the odds of
not having a match are:
(40/40)*(38/39)*(36/38)*(34/37)*(32/36)*(30/35)*(28/34)*(26/33)
=0.4193 This expression
is made by multiplying the odds of not having a
match for each try.
The last term is 26/33. This is the odds using
what is left over
after the seventh draw. After the seventh draw there are
13 pairs in the drawer
and 7 single socks. If a single sock is drawn,
there will be a match
with another sock that has already been drawn.
So the odds of not
having a match after the eighth draw is 26/33.
After 8 socks are
removed, the odds of having a match are
1-0.4193= 0.5807 or
58.07%
