Pascal’s Triangle Pascal’s Triangle and Probabilityand Probability

Pascal’s TrianglePascal’s Triangle

Complete the pattern in Pascal’s Complete the pattern in Pascal’s triangle. triangle.

Probability QuizProbability Quiz

If you take a 5 question true/false If you take a 5 question true/false quiz, what is the probability that you quiz, what is the probability that you will pass the quiz? Record your will pass the quiz? Record your answer. answer.

If you take a 10 question true/false If you take a 10 question true/false quiz, what is the probability that you quiz, what is the probability that you will pass the quiz? Record your will pass the quiz? Record your answer.answer.

Probability QuizProbability Quiz

1)1) You would not be allowed to You would not be allowed to compete in boxing in the Olympics if compete in boxing in the Olympics if you had a beard.you had a beard.

2)2) Neil Armstrong’s mother’s maiden Neil Armstrong’s mother’s maiden name was Moon. name was Moon.

3)3) In France it is illegal to sell dolls In France it is illegal to sell dolls which do not have human faces.which do not have human faces.

4)4) HippopotomonstrosesquippedaliophHippopotomonstrosesquippedaliophobia is the fear of long words. obia is the fear of long words.

Probability Quiz (con’t)Probability Quiz (con’t)

5)5) Mickey Mouse has the middle name of Mickey Mouse has the middle name of Fauntleroy.Fauntleroy.

6)6) In each of the three decades of the In each of the three decades of the 1940’s, 1950’s, and 1960’s, the top 1940’s, 1950’s, and 1960’s, the top grossing film was a Walt Disney grossing film was a Walt Disney cartoon.cartoon.

7)7) An Ostrich’s eye is bigger than it’s An Ostrich’s eye is bigger than it’s brain.brain.

8)8) Thomas Edison was afraid of the dark.Thomas Edison was afraid of the dark.

Probability Quiz (con’t)Probability Quiz (con’t)

9)9) In space, it is impossible to cry.In space, it is impossible to cry.

10)10) It is safe to reheat leftovers to 150 It is safe to reheat leftovers to 150 degrees Fahrenheit.degrees Fahrenheit.

And your score was…And your score was…1)1) TRUETRUE - You would not be allowed to - You would not be allowed to

compete in boxing in the Olympics if compete in boxing in the Olympics if you had a beard. you had a beard.

2)2) FALSEFALSE - Neil Armstrong’s mother’s - Neil Armstrong’s mother’s maiden name was Moon. maiden name was Moon. Buzz Buzz Aldrin’s mother’s was.Aldrin’s mother’s was.

3)3) TRUETRUE - In France it is illegal to sell - In France it is illegal to sell dolls which do not have human faces. dolls which do not have human faces.

4)4) TRUETRUE - -HippopotomonstrosesquippedaliophoHippopotomonstrosesquippedaliophobia is the fear of long words.bia is the fear of long words.

And your score was…And your score was…

5)5) FALSEFALSE - Mickey Mouse has the middle - Mickey Mouse has the middle name of Fauntleroy. Donald Duck’s name of Fauntleroy. Donald Duck’s was.was.

6)6) TRUETRUE - In each of the three decades of - In each of the three decades of the 1940’s, 1950’s, and 1960’s, the top the 1940’s, 1950’s, and 1960’s, the top grossing film was a Walt Disney grossing film was a Walt Disney cartoon.cartoon.

7)7) TRUETRUE - An Ostrich’s eye is bigger than - An Ostrich’s eye is bigger than it’s brain.it’s brain.

8)8) TRUETRUE - Thomas Edison was afraid of the - Thomas Edison was afraid of the dark.dark.

And your score was…And your score was…

9)9) TRUETRUE - In space, it is impossible to - In space, it is impossible to cry. cry. There is no gravity so tears There is no gravity so tears cannot flow.cannot flow.

10)10) FALSEFALSE - It is safe to reheat - It is safe to reheat leftovers to 150 degrees leftovers to 150 degrees Fahrenheit. Fahrenheit. You need to reheat to You need to reheat to at least 165 degrees Fahrenheit.at least 165 degrees Fahrenheit.

Your score was…Your score was…

Calculate your score for the first five Calculate your score for the first five questions.questions.

Calculate your score for all ten Calculate your score for all ten questions.questions.

Do you think that your prediction Do you think that your prediction was accurate?was accurate?

Analyzing the ResultsAnalyzing the Results

Using only five questions of the Using only five questions of the true/false quiz, answer the following true/false quiz, answer the following questions:questions:

How many different ways that you How many different ways that you could get every question correct?could get every question correct?

How many ways can you get one How many ways can you get one question wrong?question wrong?

How many different ways can you get How many different ways can you get three questions correct?three questions correct?

Pascal’s Triangle and Pascal’s Triangle and Taking a QuizTaking a Quiz

Refer back to Pascal’s triangle. Refer back to Pascal’s triangle. Where did you find the first three Where did you find the first three answers in the triangle?answers in the triangle?

Using Pascal’s triangle, how many Using Pascal’s triangle, how many different outcomes are there for this different outcomes are there for this five question quiz?five question quiz?

Complete the worksheet on Pascal’s Complete the worksheet on Pascal’s Triangle and Taking a QuizTriangle and Taking a Quiz