3. You roll a die. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. You get the idea. (a) Find the probability of getting exactly n rolls. (b) Find the expected number of rolls.
3. You roll a die. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. You get the idea. (a) Find the probability of getting exactly n rolls. (b) Find the expected number of rolls.
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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Transcribed Image Text:3. You roll a die. If you roll a 3-6, stop. If you roll a 1 or 2, you roll again. If you roll a 3-6,
stop. If you roll a 1 or 2, you roll again. If you roll a 3-6, stop. If you roll a 1 or 2, you roll
again. You get the idea.
(a) Find the probability of getting exactly n rolls.
(b) Find the expected number of rolls.
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