SOLUTION: A box contains 14 balls, numbered 1 through 14. Suppose 5 balls are selected without replacement. What is the probability that 9 is the largest number drawn?

Question 1066836: A box contains 14 balls, numbered 1 through 14. Suppose 5 balls are selected without replacement. What is the probability that 9 is the largest number drawn?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

1.  Calculate the number of SUCCESSFUL ways:

Choose the 9-ball 1 way, Choose the other 4 balls 
from these {1,2,3,4,5,6,7,8} in 8C4 = 40 ways.

That's  1*40 = 40 successful ways.

2.  Calculate the number of POSSIBLE ways:

Choose the 5 balls in 14C5 = 2002 ways.

3.  

Edwin

RELATED QUESTIONS
A box contains five balls numbered 1, 2, 3, 4 and 5. Three balls are randomly selected... (answered by greenestamps)

A box contains 2 white balls and 3 black balls. 2 balls are selected at random what is... (answered by stanbon)

A box contains 3black and 5white balls. Two balls are selected at random without... (answered by oscargut)

a box contains 6 identical red balls, 3 identical white balls and 5 identical black... (answered by Edwin McCravy)

A bag contains 5 red balls and 3 blue balls. If two balls are drawn at random without... (answered by ikleyn,greenestamps)

There are balls numbered 1 through 7 in a box. Two balls are selected at random in... (answered by stanbon)

A box contains 5 red,3 green and 4 blue balls of the same size.if a boy picks two balls... (answered by Fombitz)

A bag contains three white balls numbered 2, 4,6, and flour black balls numbered 1,3,5... (answered by ikleyn)

A bag contains three white balls numbered 2, 4,6, and flour black balls numbered 1,3,5... (answered by greenestamps)