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Advanced Math Topics

Advanced Math Topics. Chapter 5 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve each question Winning team earns a reward We will go over the process and answers for each. BRONZE. 1 point.

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Advanced Math Topics

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  1. Advanced Math Topics Chapter 5 Review Olympics

  2. One sheet per player • Make an answer column on the left hand side of your sheet • Work together to solve each question • Winning team earns a reward • We will go over the process and answers for each

  3. BRONZE 1 point

  4. You select three cards from a deck of • cards with replacement. Find the probability • that you selected a red card first, a heart • second, and an ace third. • Write your answer as a reduced fraction.

  5. 2) You select two cards from a deck without replacement. Find the probability you selected an 8 of spades, then a club. Write your answer as a percent rounded to the nearest hundredth of a percent.

  6. 3) You select a student at random. Find the probability that you selected a student whose favorite soda is Root Beer. Leave as a reduced fraction. Favorite Sodas at SRVHS Coke Pepsi Mt. Dew Root Beer ------------------------------------------------------------------------------------------------- Juniors 243 198 107 88 ------------------------------------------------------------------------------------------------- Seniors 222 201 99 104

  7. 4) You select a student at random. Find the probability that you selected a student whose favorite soda is Coke given that the student is a senior. Leave as a reduced fraction. Favorite Sodas at SRVHS Coke Pepsi Mt. Dew Root Beer ------------------------------------------------------------------------------------------------- Juniors 243 198 107 88 ------------------------------------------------------------------------------------------------- Seniors 222 201 99 104

  8. 5) You select a student at random. Find the probability that you selected a student whose favorite soda is Pepsi and a student who is a junior. Leave as a reduced fraction. Favorite Sodas at SRVHS Coke Pepsi Mt. Dew Root Beer ------------------------------------------------------------------------------------------------- Juniors 243 198 107 88 ------------------------------------------------------------------------------------------------- Seniors 222 201 99 104

  9. SILVER 2 points

  10. 6) You select a card from a standard deck. Find the probability that it is a heart or a red card. Leave as a reduced fraction.

  11. 7) You select a card from a standard deck. Find the probability that it is a heart or a jack. Leave as a reduced fraction.

  12. 8) The probability that you take the test is 90/100. The probability that you earn an A is 2/3. What is the probability that you take the test and do not get an A? Leave your answer as a reduced fraction.

  13. 9) The probability that a college student studies before a test is 0.87. The probability that a student studies before a test and is on the Dean’s List is 0.77. Find the probability that a randomly selected student who studies before a test is also on the Dean’s List. Write your answer as a percent rounded to the nearest hundredth of a percent.

  14. GOLD 3 points

  15. 10) There are 500 strawberry drinks, 300 orange drinks, and 200 berry drinks on a supermarket shelf. The probability that Each drink has contains a harmful bacteria is 0.02, 0.03, and 0.01, respectively. If a drink is randomly selected from the shelf and it contains the harmful bacteria, find the probability that it is a berry drink. Write your answer as a percent rounded to the nearest hundredth of a percent.

  16. 11) The probability of getting on the Wall of Fame is 0.04. You randomly select 3 people from the class, find the probability that at least one person made the Wall of Fame. Hint: Think complement. Write your answer as a percent rounded to the nearest hundredth of a percent.

  17. Rows 1 and 2 Trade Papers • Rows 3 and 4 Trade Papers • Rows 5 and 6 Trade Papers • Score only one sheet, then add it to their teammate’s score. • Points: Gold = 3Silver = 2Bronze = 1 • If there is more than 1 part, all parts must be correct to get the points

  18. BRONZE 1 point

  19. 1) You select three cards from a deck of cards with replacement. Find the probability that you selected a red card first, a heart second, and an ace third. Write your answer as reduced fraction. Process: ½ x ¼ x 1/13 Answer:1/104

  20. 2) You select two cards from a deck without replacement. Find the probability you selected an 8 of spades, then a club. Write your answer as a percent rounded to the nearest hundredth of a percent. Process: p(8 of spades) x p(club | 8 of spades) = 1/52 x 13/51 Answer: .49%

  21. 3) You select a student at random. Find the probability that you selected a student whose favorite soda is Root Beer. Leave as a reduced fraction. Favorite Sodas at SRVHS Coke Pepsi Mt. Dew Root Beer ------------------------------------------------------------------------------------------------- Juniors 243 198 107 88 ------------------------------------------------------------------------------------------------- Seniors 222 201 99 104 Process: (88 + 104)/total # of students 192/ 1262 Answer: 96/631

  22. 4) You select a student at random. Find the probability that you selected a student whose favorite soda is Coke given that the student is a senior. Leave as a reduced fraction. Coke Pepsi Mt. Dew Root Beer ------------------------------------------------------------------------------------------------- Juniors 243 198 107 88 ------------------------------------------------------------------------------------------------- Seniors 222 201 99 104 Process: P(Coke | senior) = P(coke and senior)/P(senior) = 222/626 Answer:111/313

  23. 5) You select a student at random. Find the probability that you selected a student whose favorite soda is Pepsi and a student who is a junior. Leave as a reduced fraction. Coke Pepsi Mt. Dew Root Beer ------------------------------------------------------------------------------------------------- Juniors 243 198 107 88 ------------------------------------------------------------------------------------------------- Seniors 222 201 99 104 Process: (Junior and Pepsi)/total 198/1262 Answer:99/631

  24. SILVER 2 points

  25. 6) You select a card from a standard deck. Find the probability that it is a heart or a red card. Leave as a reduced fraction. Process: p(heart) + p(red card) – p(both red card and heart) ¼ + ½ - ¼ Answer:½

  26. 7) You select a card from a standard deck. Find the probability that it is a heart or a jack. Leave as a reduced fraction. Process: p(heart) + p(jack) – p(jack of hearts) 13/52 + 4/52 – 1/52 Answer:4/13

  27. 8) The probability that you take the test is 90/100. The probability that you earn an A is 2/3. What is the probability that you take the test and do not get an A? Leave your answer as a reduced fraction. Process: p(not an A) = 1 – p(A) = 1 – 2/3 = 1/3 p(take it) x p(not an A | take the test) 90/100 x 1/3 = 9/10 x 1/3 Answer:3/10

  28. GOLD 3 points

  29. 9) The probability that a college student studies before a test is 0.87. The probability that a student studies before a test and is on the Dean’s List is 0.77. Find the probability that a randomly selected student who studies before a test is also on the Dean’s List. Write your answer as a percent rounded to the nearest hundredth of a percent. Process:p(Dean’s List | studies before a test) = p(both) / p(studies before a test) = 0.77 / 0.87 = Answer: 88.51%

  30. 10) There are 500 strawberry drinks, 300 orange drinks, and 200 berry drinks on a supermarket shelf. The probability that Each drink has contains a harmful bacteria is 0.02, 0.03, and 0.01, respectively. If a drink is randomly selected from the shelf and it contains the harmful bacteria, find the probability that it is a berry drink. Write your answer as a percent rounded to the nearest hundredth of a percent. Process: Bayes’ Formula [(200/1000) x (0.01)] / [(200/1000) x 0.01 + (500/1000) x 0.02 + (300/1000) x 0.03] Answer: 9.52%

  31. 11) The probability of getting on the Wall of Fame is 0.04. You randomly select 3 people from the class, find the probability that at least one person made the Wall of Fame. Hint: Think complement. Write your answer as a percent rounded to the nearest hundredth of a percent. Process: The complement of at least one person made it is no one made it. Thus p(at least one made it) = 1 – p(no one made it) = 1 – p(no) x p(no) x p(no) = 1 – 0.96 x 0.96 x 0.96 Answer:11.53%

  32. Tiebreaker) The probability of getting on the Wall of Fame is 0.04. You randomly select 3 people from the class, find the probability exactly one person made the Wall of Fame. Sa your answer as a percent rounded to the nearest hundredth of a percent. Answer: 11.06%

  33. HW • P. 280 #1-10 • To study, look at this slideshow, past slideshows, the book, the chapter review, etc. • Winners: Do the Odds • Test Tomorrow

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