SOLUTION: Given seven students, three of which are female, if two students are selected at random, without replacement, what is the probability that both students are female

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Question 1041690: Given seven students, three of which are female, if two students are selected at random, without replacement, what is the probability that both students are female
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible outcomes and their corresponding probabilities.
P%28F%2CF%29=%283%2F7%29%282%2F6%29=6%2F42=1%2F7
P%28F%2CM%29=%283%2F7%29%284%2F6%29=12%2F42=2%2F7
P%28M%2CF%29=%284%2F7%29%283%2F6%29=12%2F42=2%2F7
P%28M%2CM%29=%284%2F7%29%283%2F6%29=12%2F42=2%2F7
They do add up to 1 just to check consistency.
So then,
P%28F%2CF%29=1%2F7