SOLUTION: question: an executive committee consisted of ten members: four women and six men. Three members were selected at random to be sent to a metting in Hawaii. A blindfolded woman

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Question 322522: question:
an executive committee consisted of ten members: four women and six men. Three members were selected at random to be sent to a metting in Hawaii. A blindfolded woman drew three of the ten names from a hat. All three names drawn were's women's. What was the probability of such luck?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

The probability of successes in trials where is the probability of success on any given trial is given by:



Where is the number of combinations of things taken at a time and is calculated by

Here you need 3 successes in 3 trials where the probability of success is 0.4 (4 out of 10 names were women)



The arithmetic is yours to do. Hint:



and




John