SOLUTION: Tims goal is to run one marathon in each of the 50 states. To determine the order in which he will run the marathons, he will write the name of each state on a slip of paper and pl

Algebra ->  Permutations -> SOLUTION: Tims goal is to run one marathon in each of the 50 states. To determine the order in which he will run the marathons, he will write the name of each state on a slip of paper and pl      Log On


   

Question 970793: Tims goal is to run one marathon in each of the 50 states. To determine the order in which he will run the marathons, he will write the name of each state on a slip of paper and place the slips of paper in a bowl. He will then draw the names of the state's one at a time from the bowl until all the slips of paper have been drawn.
If there are 26 states east of Mississippi River and 24 states west of the Mississippi River what is the probability that the tire state drawn will be east of the mississippi, GIVEN THAT the first one drawn was east of the Mississippi and the second one drawn was west of the mississippi?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a conditional probability issue, so the original probability of 26/50 no longer prevails. There have been changes in both the numerator and the denominator.
The third marathon will be chosen from 48 states, 25 east of the Mississippi and 23 west of the Mississippi. The probability will be 25/48.