A sequential experiment involves repeatedly drawing a ball from one of the two urns, noting thenumber on the ball and replacing the ball in the urn. Urn 0 contains a ball with the number 0 and...

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A sequential experiment involves repeatedly drawing a ball from one of the two urns, noting the number on the ball and replacing the ball in the urn. Urn 0 contains a ball with the number 0 and two balls with the number 1. Urn 1 contains five balls with the number 0 and one ball with the number 1. The urn from which the first ball is drawn is selected by flipping a fair coin. Urn 0 is used if the outcome is H and urn 1 is used if the outcome is T. The urn used in a subsequent draws corresponds to the number on the ball drawn in the previous draw. What is the probability of a specific sequence of the numbers on drawn balls being 0011 ?
Feb 12, 2023
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