Documents

  1. Single 9-block
  2. Thirty-two 9-blocks
  3. Template for 3zees
  4. Sample Distribution
  5. Guide to Sample Stalagmite Model

Netlogo Models

  1. 9 Blocks
  2. Sample Stalagmite
  3. Sampler
  4. Sampler client

Discussions

  1. Ways of Counting
  2. Tree Counting
  3. Binary Counting
  4. Concatenation
  5. Two Square Concatenation
  6. Other Concatenations
  7. Quantity Groups
  8. Independent Events
  9. Dependent Events
  10. Calculating Probability
  11. Counting Reconsidered
  12. Probabiliy Formula
  13. Independent Events Formula
  14. Apply Independent Events Formula
  15. Stalagmite Riddle

Related Links

Apply Independent Events Formula

Applying the Independent Events (IE) Formula, we see that the probability of rolling two sixes in a row is:

(1/6) * (1/6) = 1/36.

We can also apply the IE Formula to find the probability of rolling a number less than three followed by a number greater than two.  The probability of rolling a number less than three (a 1 or a 2) is 2/6 = 1/3.  The probability of rolling a number greater than two (a 3, 4, 5, or 6) is 4/6 = 2/3.  So the probability of rolling a number less than three followed by a number greater than two is (1/3) * (2/3) = 2/9.

Compare the effort and results of this method with those of the brute force method shown earlier.