Today we had about 10-15 people in the room working on some review questions for tomorrow's quiz....which was AWESOME. I would love to see this happen more often to study for a quiz/test!
Check the blog post below for an outline of the test...
If you're looking to study, here are the review questions we worked on after school to study for the quiz! The answers are in parentheses...if you can do all these, you're in great shape for tomorrow!
Probability Review Questions (for ch. 14/15 quiz)
1.)
A player spins a spinner. 40% of the spinner is
green, 20% is red, 15% is blue, 15% is yellow, and the rest is orange.
a.
What is the probability that the spinner lands
on orange? (0.10)
b.
What is the probability that the spinner lands
on green or red? (0.60)
Suppose we spin the spinner 5 times….
c.
What is the probability that all 5 spins land on
red? (0.00032)
d.
What is the probability that none of the 5 spins
lands on red? (0.32768)
e.
What is the probability that the first red is
the fifth spin? (0.08192)
f.
What is the probability that at least one spin
is red? (0.67232)
g.
What is the probability that exactly one spin is
red? (0.4096)
h.
What is the probability that the spins land in
this exact order: red, green, red, green, orange (0.00064)
2.)
Suppose that the probability someone has a given
disease is 0.12. A person will take a test to see if they do in fact have this
disease. 95% of people who have the disease will test positive, and 92% of
people who do not have the disease will test negative.
a.
What is the probability that someone has the
disease and tests negative? (0.006)
b.
What is the probability that someone
has the disease and tests positive? (0.114)
What is the probability that someone
has the disease and tests positive? (0.114)
c.
What is the probability that someone who has the
disease tests positive? (0.95)
d.
What is the probability that someone who does
not have the disease tests positive? (0.08)
e.
What is the probability that someone has the
disease, given they tested positive? (0.6182)
f.
What is the probability that someone has the
disease if we know they tested negative? (0.0074)
3.)
Suppose that 80% of students take math in their
senior year, 65% of students take science their senior year, and 55% take both.
a.
What is the probability that a student takes
only science? (0.10)
b.
What is the probability that a student takes
math or science, but not both? (0.35)
c.
What is the probability that a student takes
neither course? (0.10)
d.
What is the probability that a student who takes
science takes math? (0.8461)
e.
What is the probability that a student who takes
math takes science? (0.6875)
4.)
There are 20 marbles in a bag. 8 are blue, 6 are
red, 4 are green, and 2 are black. You plan to create a “collection” of 4
marbles.
a.
What is the probability that all 4 marbles are
blue? (0.01444)
b.
What is the probability that your collection
does not have any black marbles? (0.6316)
c.
What is the probability that all of the marbles
in your collection are the same color? (0.01776 to 0.0195; depends on how you
round)
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