Pascal’s Triangle and Probability. Pascal’s Triangle Complete the pattern in Pascal’s triangle. Complete the pattern in Pascal’s triangle.

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Presentation transcript:

Pascal’s Triangle and Probability

Pascal’s Triangle Complete the pattern in 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? Record your answer. If you take a 5 question true/false quiz, what is the probability that you will pass the quiz? Record your answer. If you take a 10 question true/false quiz, what is the probability that you will pass the quiz? Record your answer. If you take a 10 question true/false quiz, what is the probability that you will pass the quiz? Record your answer.

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.

And your score was… 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.

And your score was… 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.

And your score was… 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.

Your score was… Calculate your score for the first five questions. Calculate your score for the first five questions. Calculate your score for all ten questions. Calculate your score for all ten questions. Do you think that your prediction was accurate? Do you think that your prediction was accurate?

Analyzing the Results Using only five questions of the true/false quiz, answer the following questions: How many different ways that you could get every question correct? How many different ways that you could get every question correct? How many ways can you get one question wrong? How many ways can you get one question wrong? How many different ways can you get three questions correct? 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? 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? 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 Complete the worksheet on Pascal’s Triangle and Taking a Quiz