SOLUTION: a class of 31 students, a committee of 2 is chosen to organize a party What is the probability that sue and jane are both on the committee? i am sooo confused i figured out th

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Question 1177376: a class of 31 students, a committee of 2 is chosen to organize a party What is the probability that sue and jane are both on the committee?

i am sooo confused i figured out that 31C2 = 465 possible combinations of pairs

P(x)=31C2Pxqn-x and i am confused

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of all possible pairs is  C%5B31%5D%5E2 = %2831%2A30%29%2F2 = 31*15 = 465.


Of them, ONLY one pair satisfies the problem's requirement.


So, the probability to get this happy final choice is  P = 1%2F465.    ANSWER

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The problem is solved.

It looks like you were on a right track.


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See introductory lessons on Probability

    - 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 (!)