SOLUTION: A drawer contains 10 red socks, 6 white socks, and 8 blue socks. Without looking, you draw out a sock,return it, and draw out a second sock. A) What is the probability that the fir

Algebra ->  Probability-and-statistics -> SOLUTION: A drawer contains 10 red socks, 6 white socks, and 8 blue socks. Without looking, you draw out a sock,return it, and draw out a second sock. A) What is the probability that the fir      Log On


   



Question 1159769: A drawer contains 10 red socks, 6 white socks, and 8 blue socks. Without looking, you draw out a sock,return it, and draw out a second sock. A) What is the probability that the first sock is blue and the second sock is white? Showing all work B) State whether this is dependent or independent events.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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(A)  P = %288%2F24%29%2A%286%2F24%29 = %281%2F3%29%2A%281%2F4%29 = 1%2F12.    ANSWER


     The formula is SELF-EXPLANATORY.

     The remarkable number "24" in the formula is the total of socks  24 = 10+6+8.




(B)  Since the initial conditions are identical in both drawing, the events (the outcomes) are INDEPENDENT.

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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.
Happy learning (!)