SOLUTION: Michelle has a drawer filled with 10 white socks and 15 brown socks. She selects one sock at random from the drawer and puts it back. She then selects another sock at random from

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Question 1127866: Michelle has a drawer filled with 10 white socks and 15 brown socks. She selects one sock at random from the drawer and puts it back. She then selects another sock at random from the drawer. What is the probability that both socks are white?
Thank you,
Jessica

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The probability is  10%2F%2810%2B15%29 = 10%2F25 = 2%2F5 = 0.4 to get a white sock at the first trial.


The probability is the same  2%2F5 = 0.4 to get a white sock at the second trial.


Hence, the probability that both socks are white is 0.4%5E2 = 0.16.    ANSWER

Solved.

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Jessica, there is a bunch of my lessons on Probability in this site
    - Elementary Probability problems related to combinations
    - A True/False test
    - A shipment containing fair and defective alarm clocks
    - People in a room write down integer numbers at random
    - A drawer contains a mixture of socks
    - Students studying foreign languages
    - Probability for a computer to be damaged by viruses
    - Typical probability problems from the archive
    - Geometric probability problems
    - Advanced probability problems from the archive
    - Challenging probability problems
    - Selected probability problems from the archive
    - OVERVIEW of lessons on Probability

Look into them to expand your skills and knowledge in solving elementary probability problems.

Become an expert in the area.

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.