SOLUTION: Question is: A basket contains 4 black, 2 blue, and 7 green balls. A sample of 3 balls is drawn. Find the probability contains all black balls. Please show work - thank you

Algebra ->  Probability-and-statistics -> SOLUTION: Question is: A basket contains 4 black, 2 blue, and 7 green balls. A sample of 3 balls is drawn. Find the probability contains all black balls. Please show work - thank you      Log On


   



Question 950236: Question is:
A basket contains 4 black, 2 blue, and 7 green balls. A sample of 3 balls is drawn. Find the probability contains all black balls.
Please show work - thank you.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The Probability(Pr) of the first ball drawn is black is 4/13
The Pr of the second ball drawn is black is 3/12 = 1/4
The Pr of the third ball drawn is black is 2/11
The Pr that all three balls drawn are black is (4/13)*(1/4)*(2/11) = 8/572 = 2/143 = 0.013986014