Solution Found!
Consider an unending sequence of independent trials, where
Chapter 3, Problem 77P(choose chapter or problem)
Consider an unending sequence of independent trials, where each trial is equally likely to result in any of the outcomes 1, 2, or 3. Given that outcome 3 is the last of the three outcomes to occur, find the conditional probability that
(a) the first trial results in outcome 1;
(b) the first two trials both result in outcome 1.
Questions & Answers
QUESTION:
Consider an unending sequence of independent trials, where each trial is equally likely to result in any of the outcomes 1, 2, or 3. Given that outcome 3 is the last of the three outcomes to occur, find the conditional probability that
(a) the first trial results in outcome 1;
(b) the first two trials both result in outcome 1.
ANSWER:Step 1 of 3
It is given that each trial is equally likely to result any one of the outcomes 1,2,3 in a unending sequence of independent trials.
Also, it is given that 3 is last outcome to occur.
Using this we need to find the required conditional probabilities.