SOLUTION: Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls. Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball

Algebra ->  Probability-and-statistics -> SOLUTION: Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls. Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball      Log On


   



Question 1183544: Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls. Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability that it will be red.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls.
Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball is drawn,
find the probability that it will be red.
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The probability is  1%2F3  for choosing urn #1.

The probability is  3%2F5  to select red ball from urn #1.



The probability is  1%2F3  for choosing urn #2.

The probability is  2%2F4 = 1%2F2  to select red ball from urn #2.



The probability is  1%2F3  for choosing urn #3.

The probability is  6%2F8 = 3%2F4  to select red ball from urn #3.



The probability under the problem's question is


    P = %281%2F3%29%2A%283%2F5%29+%2B+%281%2F3%29%2A%281%2F2%29+%2B+%281%2F3%29%2A%283%2F4%29 = 1%2F5+%2B+1%2F6+%2B+1%2F4 = 12%2F60+%2B+10%2F60+%2B+15%2F60 = %2812%2B10%2B15%29%2F60 = 37%2F60.    ANSWER

Solved and carefully explained.

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For simple and simplest problems of Elementary Probability theory see the lessons
    - Simple and simplest probability problems
    - Solving probability problems using complementary probability
    - Elementary Probability problems related to combinations
    - A True/False test
    - A multiple choice answers test
    - Typical probability problems from the archive
    - Experimental probability problems
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Solved problems on Probability".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

Consider these lessons as your textbook,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.


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