SOLUTION: If two delegates are randomly chosen to attend a meeting with the President, find the probability that the delegates are of the opposite sex. This is the information that was gi

Question 616258: If two delegates are randomly chosen to attend a meeting with the President, find the probability that the delegates are of the opposite sex.
This is the information that was given.
Political Party -----Male ------ Female
Democrat--------------4------------5
Republican------------6------------2
Independent-----------2------------1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If two delegates are randomly chosen to attend a meeting with the President, find the probability that the delegates are of the opposite sex.
This is the information that was given.
Political Party -----Male ------ Female
Democrat--------------4------------5
Republican------------6------------2
Independent-----------2------------1
=======================
# of ways to succeed: 12*8 = 96 opposite-sex pairs.
--
# of random pairs: 20C2 = (20*19)/(1*2) = 190
---
P(opposite sex pair) = 96/190 = 48/95
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Cheers,
Stan H.
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