SOLUTION: In a class consisting of 12 men and 11 women, all who submitted homework papers, two different homework papers were selected at random. Find the probability that both papers belong

Algebra ->  Probability-and-statistics -> SOLUTION: In a class consisting of 12 men and 11 women, all who submitted homework papers, two different homework papers were selected at random. Find the probability that both papers belong      Log On


   



Question 1171396: In a class consisting of 12 men and 11 women, all who submitted homework papers, two different homework papers were selected at random. Find the probability that both papers belonged to women. Express your answer as a decimal rounded to three places if necessary.
The Probability that both papers belonged to women is ________.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
In a class consisting of 12 men and 11 women, all who submitted homework papers, two different homework papers
were selected at random. Find the probability that both papers belonged to women.
Express your answer as a decimal rounded to three places if necessary.
The Probability that both papers belonged to women is ________.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Solve it in two steps.


Step 1:  calculate the total number of students  12 + 11 = 23.


Step 2:  calculate the probability under the question


         P = %28%2811%2F23%29%2A%2810%2F22%29%29 = 0.217  (rounded as requested).

Solved.

The formula is SELF-EXPLANATORY.