Thread: Finding the odds of taking the shortest path.

urgent help needed

consider a field which is square in shape and 100*100 units in area.i am standing at north-west corner of the field.from any place i am allowed to take one of the following steps
1.1 unit to the east
2.1 unit to the south
3.sqrt(2) units to the south-east

i am not allowed to move out of the field.

i randomly pick one of the possible moves at each step and reach the south-east corner of the field?the odds that i took the shortest path are 1:x?

find x?

Originally Posted by royaldada

urgent help needed

consider a field which is square in shape and 100*100 units in area.i am standing at north-west corner of the field.from any place i am allowed to take one of the following steps
1.1 unit to the east
2.1 unit to the south
3.sqrt(2) units to the south-east

i am not allowed to move out of the field.

i randomly pick one of the possible moves at each step and reach the south-east corner of the field?the odds that i took the shortest path are 1:x?

find x?

Do you know what the shortest path is? What direction do you have to go at each step to take the shortest path? How many steps is this?

By the way, for when is that contest due?

[For those who didn't see the other thread, yes, this question is for a contest which isn't closed yet]

Originally Posted by royaldada

urgent help needed

consider a field which is square in shape and 100*100 units in area.i am standing at north-west corner of the field.from any place i am allowed to take one of the following steps
1.1 unit to the east
2.1 unit to the south
3.sqrt(2) units to the south-east

i am not allowed to move out of the field.

i randomly pick one of the possible moves at each step and reach the south-east corner of the field?the odds that i took the shortest path are 1:x?

find x?

It appears that your urgent question is from a competition that has not ended. Thread closed. See rule #6: http://www.mathhelpforum.com/math-he...ng-151418.html.