Question

Two identical urns contain balls. One of the urns has 6 red balls and 3 blue balls. The other urn has 5 red balls and 8 blue balls. An urn is chosen at random and a ball is drawn at random from this urn. If the ball turns out to be red, what is the probability that this is the urn with 6 red balls? Use Bayes' Theorem 13/25 1/2 8 26/41

Name: two identical urns contain balls one of the urns has 6 red balls and 3 blue balls the other urn has 5 red balls and 8 blue balls an urn is chosen at random and a ball is drawn at random from 48218
Uploaded: 2022-05-16T08:29:20-08:00
Duration: 3 min 1 s
Channel: Adi S
Description: two identical urns contain balls one of the urns has 6 red balls and 3 blue balls the other urn has 5 red balls and 8 blue balls an urn is chosen at random and a ball is drawn at random from 48218

          Two identical urns contain balls. One of the urns has 6 red balls and 3 blue balls. The other urn has 5 red balls and 8 blue balls. An urn is chosen at random and a ball is drawn at random from this urn. If the ball turns out to be red, what is the probability that this is the urn with 6 red balls?

Use Bayes' Theorem

13/25
1/2
8
26/41

two identical urns contain balls one of the urns has 6 red balls and 3 blue balls the other urn has 5 red balls and 8 blue balls an urn is chosen at random and a ball is drawn at random from 48218

Added by Latoya B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

05/16/2022

Step 1

Let $U_2$ be the event that the second urn (with 5 red and 8 blue balls) is chosen. Let $R$ be the event that a red ball is drawn. We are given that there are two identical urns, and an urn is chosen at random. So, the prior probabilities of choosing each urn Show more…

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Two identical urns contain balls. One of the urns has 6 red balls and 3 blue balls. The other urn has 5 red balls and 8 blue balls. An urn is chosen at random and a ball is drawn at random from this urn. If the ball turns out to be red, what is the probability that this is the urn with 6 red balls? Use Bayes' Theorem 13/25 1/2 8 26/41