1 / 10

ROLL A PAIR OF DICE

ROLL A PAIR OF DICE. AND ADD THE NUMBERS. There are 6 x 6 = 36 equally likely. Possible Outcomes:. A more compact sample space might list only the possible sums. These outcomes are not equiprobable and must be weighted as follows:. 2/36. 3/36. 4/36. 5/36. 5/36. 4/36. 3/36. 2/36.

jolene-prince
Télécharger la présentation

ROLL A PAIR OF DICE

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. ROLL A PAIR OF DICE AND ADD THE NUMBERS

  2. There are 6 x 6 = 36 equally likely Possible Outcomes:

  3. A more compact sample space might list only the possible sums. These outcomes are not equiprobable and must be weighted as follows:

  4. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 1 1 6 6 1 2 5 6 1 2 3 1 6 5 4 2 4 6 4 5 3 1 1 6 2 4 5 5 2 3 2 4 3 4 3 5 6 3 5 4 4 3 2 1 6 5 4 4 3 2 1 6 3 5 1 5 3 4 1 6 2 3 2 3 5 6 2 1 6 5 4 2 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36

  5. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36 T = the event the sum is a multiple of 3 2/36 5/36 4/36 1/36 T = { 3, 6, 9, 12 } P(T) = 2/36 + 5/36 + 4/36 + 1/36 = 12/36

  6. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36 E = the event the sum is greater than 8 4/36 3/36 2/36 1/36 E = { 9, 10, 11, 12 } P(E) = 4/36 + 3/36 + 2/36 + 1/36 =10/36

  7. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 E = the event the sum is greater than 8 T = the event the sum is a multiple of 3 2/36 5/36 4/36 1/36 4/36 3/36 2/36 1/36 T = { 3, 6, 9, 12 } P(T) = 12/36 E = { 9, 10, 11, 12 } P(E) = 10/36 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36

  8. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 4/36 3/36 2/36 1/36 2/36 5/36 4/36 1/36 T E= the event the sum is a multiple of 3ANDgreater than 8 = { 9, 12 }P(T E) = 5/36 T = { 3, 6, 9, 12 } P(T) = 12/36 E = { 9, 10, 11, 12 } P(E) = 10/36 T E= the event the sum is a multiple of 3ORgreater than 8 P(T E) = P(T) +P(E) - P(T E) = 12/36 + 10/36 - 5/36 = 17/36 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36

  9. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 4/36 3/36 2/36 1/36 2/36 5/36 4/36 1/36 E = { 9, 10, 11, 12 } P(E) = 10/36 T = { 3, 6, 9, 12 } P(T) = 12/36 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36 T E= the event the sum is a multiple of 3ANDgreater than 8 = { 9, 12 }P(T E) = 5/36 T /E= the event the sum is a multiple of 3IFgreater than 8 P(T /E) = P(T E) = 5/36 = 5 P( E ) 10/36 10

  10. 2/36 3/36 4/36 5/36 5/36 4/36 3/36 2/36 1/36 1/36 The SAMPLE SPACE = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } 6/36

More Related