1. A 9-sided die, with faces numbered 1 through 9, is rolled one time, and the number facing up is noted. If the number on the die is less than or equal to 6, a coin is flipped 2 times, noting the result each time (Heads (H) or tails (T)) , and then the experiment ends. On the other hand, if the number on the die is greater than 6 the coin is flipped 1 time, noting the result (Heads (H) or Tails (T)) and then the experiment ends. So some possible outcomes are 1HT, 3TT, 7H, etc. Let S be the sample space of this experiment, and determine n(S). (Hint: instead of drawing the whole tree, sketch a partial tree to see the pattern.)

1. A 9-sided die, with faces numbered 1 through 9, is rolled one time, and the number facing up is noted. If the number on the die is less than or equal to 6, a coin is flipped 2 times, noting the result each time (Heads (H) or tails (T)) , and then the experiment ends. On the other hand, if the number on the die is greater than 6 the coin is flipped 1 time, noting the result (Heads (H) or Tails (T)) and then the experiment ends. So some possible outcomes are 1HT, 3TT, 7H, etc. Let S be the sample space of this experiment, and determine n(S). (Hint: instead of drawing the whole tree, sketch a partial tree to see the pattern.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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