Question 318956: Can anyone help me with this probability question? You have a group of 10 people, 4 are women and 6 men. A blindfolded woman pulls three names from a bag and they are all three women-what is the probability of this luck? I know the full amount of people is 10, four of which are woman so the probability is 4/10 or out of 10 chances, there were 4 opportunities (reduced down to 2/5) is this correct? Any help would be appreciated!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You have a group of 10 people, 4 are women and 6 men.
-------
A blindfolded woman pulls three names from a bag and they are all three women-what is the probability of this luck?
----
# of ways to pull 3 "women" from the bag: 4C3 = 4
Comment: The "C" stands for "combination". When you
count combinations, you are counting groups. You
could select 4 distinct groups of 3 women from a set containing
4 woman.
Try it with {a,b,c,d}
Each time you select 3 you are not selecting 1.
And there are 4 ways to not select one; so there
are 4 wasys to select three.
----
# of ways to pull 3 tags randomly from the bag: 10C3 = (10*9*8)/(1*2*3) = 120
----------------
Probability of pulling 3 "women" from the bag: 4/120 = 1/30
===============================================================
Cheers,
Stan H.
============
|
|
|
