# Pascalâ€™s Triangle and Probability

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```					Pascal’s Triangle and
Probability
Pascal’s Triangle
   Complete the pattern in Pascal’s triangle.
Probability Quiz
   If you take a 5 question true/false quiz, what is
the probability that you will pass the quiz?
   If you take a 10 question true/false quiz, what is
the probability that you will pass the quiz?
Probability Quiz
1)   You would not be allowed to compete in
boxing in the Olympics if you had a beard.
2)   Neil Armstrong’s mother’s maiden name was
Moon.
3)   In France it is illegal to sell dolls which do not
have human faces.
4)   Hippopotomonstrosesquippedaliophobia is
the fear of long words.
Probability Quiz (con’t)
5)   Mickey Mouse has the middle name of
Fauntleroy.
6)   In each of the three decades of the 1940’s,
1950’s, and 1960’s, the top grossing film was a
Walt Disney cartoon.
7)   An Ostrich’s eye is bigger than it’s brain.
8)   Thomas Edison was afraid of the dark.
Probability Quiz (con’t)
9)    In space, it is impossible to cry.
10)   It is safe to reheat leftovers to 150 degrees
Fahrenheit.
1)   TRUE - You would not be allowed to
compete in boxing in the Olympics if you had
a beard.
2)   FALSE - Neil Armstrong’s mother’s maiden
name was Moon. Buzz Aldrin’s mother’s was.
3)   TRUE - In France it is illegal to sell dolls
which do not have human faces.
4)   TRUE -
Hippopotomonstrosesquippedaliophobia is
the fear of long words.
5)   FALSE - Mickey Mouse has the middle name
of Fauntleroy. Donald Duck’s was.
6)   TRUE - In each of the three decades of the
1940’s, 1950’s, and 1960’s, the top grossing
film was a Walt Disney cartoon.
7)   TRUE - An Ostrich’s eye is bigger than it’s
brain.
8)   TRUE - Thomas Edison was afraid of the
dark.
9)    TRUE - In space, it is impossible to cry.
There is no gravity so tears cannot flow.
10)   FALSE - It is safe to reheat leftovers to 150
degrees Fahrenheit. You need to reheat to at
least 165 degrees Fahrenheit.
   Calculate your score for the first five questions.

   Calculate your score for all ten questions.

   Do you think that your prediction was accurate?
Analyzing the Results
Using only five questions of the true/false quiz,
 How many different ways that you could get
every question correct?
 How many ways can you get one question
wrong?
 How many different ways can you get three
questions correct?
Pascal’s Triangle and Taking a Quiz
   Refer back to Pascal’s triangle. Where did you
find the first three answers in the triangle?
   Using Pascal’s triangle, how many different
outcomes are there for this five question quiz?
   Complete the worksheet on Pascal’s Triangle
and Taking a Quiz

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