1 / 24

Start

Identify the sample space using a tree diagram for a probability experiment where determine the color of the stoplight as you arrive for 3 separate stoplights. Be sure to write out the sample space. Start. 1 st Stoplight. Red. Yellow. Green. 2 nd Stoplight. R. Y. G. R. Y. G. R. Y.

piper
Download Presentation

Start

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Identify the sample space using a tree diagram for a probability experiment where determine the color of the stoplight as you arrive for 3 separate stoplights. Be sure to write out the sample space. Start 1st Stoplight Red Yellow Green 2nd Stoplight R Y G R Y G R Y G 3rd Stoplight R Y G R Y G R Y G R Y G R Y G R Y G R Y G R Y G R Y G • Sample Space: S = {RRR, YRR, GRR, RYR, YYR, GYR, RGR, YGR, GGR, RRY, YRY, GRY, RYY, YYY, GYY, RGY, YGY, GGY, RRG, YRG, GRG, RYG, YYG, GYG, RGG, YGG, GGG}

  2. Classify the following statements As an example of classical, Empirical or subjective probability 2. Maria chooses a chip out of a box of red and blue chips 25 times and replaces the chip each time after drawing one. She draws a red chip 6 times. Empirical Probability

  3. Classify the following statements As an example of classical, Empirical or subjective probability 3. The probability of drawing a King out of a standard deck of playing cards is 1 out of 13. Classical Probability

  4. Classify the following statements As an example of classical, Empirical or subjective probability 4. A Rangers supporter might say, "I believe that Rangers have probability of 0.9 of winning the Scottish Premier Division this year since they have been playing really well." Subjective Probability

  5. Find the probability of the Following events: 5. Using a deck of cards find: a. P(black or queen) = P(A) + P(B) – P(A and B) = 26/52+ 4/52 – 2/52 = 28/52 = 7/13

  6. Find the probability of the Following events: 5. Using a deck of cards find: a. P(10 or ace) = P(A) + P(B) – P(A and B) = 4/52 + 4/52 = 8/52 = 2/13

  7. Find the probability of the Following events: 6. Given a bag of marbles with 7 red marbles numbered 1-7 and 8 black marbles numbered 1-8 find: a. P(less than 3 or greater than 5) = P(A) + P(B) – P(A and B) = 4/15 + 5/15 = 9/15 = 3/5

  8. Find the probability of the Following events: 6. Given a bag of marbles with 7 red marbles numbered 1-7 and 8 black marbles numbered 1-8 find: a. P(red or greater than 6) = P(A) + P(B) – P(A and B) = 7/15 + 3/15 – 1/15 = 9/15 = 3/5

  9. Use the following chart to find the probability of the following: a. P(Yellow) = 3/31

  10. Use the following chart to find the probability of the following: b. P(red or black) = P(A) + P(B) = 4/31 + 9/31 = 13/31

  11. Use the following chart to find the probability of the following: c. P(Not white) = P(white) = 7/31 P(not white) = 1 – P(white) P(not white) = 1 – 7/31 = 24/31

  12. Use the following chart to find the probability of the following: • d. P(Orange or Yellow or Black) = P(A) + P(B) + P(C) = 3/31 + 3/31 + 9/31 = 15/31

  13. Decide if the events are Mutually exclusive 7. Event A: Number of boys in a math class Event B: Number of students involved in athletics. NOT Mutually Exclusive Explain: A boy in a math class can also be involved in athletics.

  14. Decide if the events are Mutually exclusive 8. Event A: Selecting a black card from a standard deck Event B: Selecting a heart from a standard deck. Mutually Exclusive Explain: A black card can never be a heart.

  15. Fill in the blanks: 9. The _____________________ states that as the number of trials increase, the empirical probability of getting a head will approach the theoretical probability. Law of Large Numbers

  16. Fill in the blanks: 10. A probability that is generated based on an estimated guess is called ____________ probability. Subjective

  17. Fill in the blanks: Empirical 11. _______________ probability relies on actual experience and keeping track of frequencies.

  18. Fill in the blanks: 12. The type of probability that is formulated from sample spaces is _____________ probability. Classical

  19. Fill in the blanks: 13. Two events that have no possible outcomes in common are referred to as ____________________. Mutually Exclusive

  20. Fill in the blanks: 14. A set made up of all of the possible outcomes of a sample space that are not included in the event are referred to as ______________. Complementary

  21. Write the following equations: Write the equation used to find the P(E) of a classical probability. n(E) n(S) P(E) =

  22. Write the following equations: Write the equation used to find the P(E) of an empirical probability. _f_ n P(E) =

  23. Write the following equations: Write the equation for P(A or B) for two events A and B that are mutually exclusive. P(A or B) = P(A) + P(B)

  24. Write the following equations: Write the equation for P(A or B) for two events A and B that are NOT mutually exclusive. P(A or B) = P(A) + P(B) – P(A and B)

More Related