SOLUTION: I cant finish these homework problems. The problem is set up as a rectangle with 6 columns down and 3 rows across. a is in the left corner and z is in the bottom right. b is locate

Question 430484: I cant finish these homework problems. The problem is set up as a rectangle with 6 columns down and 3 rows across. a is in the left corner and z is in the bottom right. b is located 2 columns across starting at a, one row down. C is located 3 columns across ad 2 rows down from a.
a[][][][][][]
[][]b[][][][]
[][][]c[][][]z
2. (1 point) If a route (with no backtracking) from A to Z is randomly chosen, what is the probability that the route passes through point B? Answer in fraction.
3. (1 point) Given that a route passes through B, what is the probability that it also passes through point C? Answer in fraction.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I cant finish these homework problems. The problem is set up as a rectangle with 6 columns down and 3 rows across. a is in the left corner and z is in the bottom right. b is located 2 columns across starting at a, one row down. C is located 3 columns across ad 2 rows down from a.
a[][][][][][]
[][]b[][][][]
[][][]c[][][]z
2. (1 point) If a route (with no backtracking) from A to Z is randomly chosen, what is the probability that the route passes through point B? Answer in fraction.----
# of routes from a to z: 2*3*4*5*6*5*4*3*2*1 = 6!*5! = 86400
# of rountes from a to z thru b: 2*1*4*5*6*5*4*3*2*1 = 28800
P(a to z thru b) = 1/3
Note: I'm assuming the "b" box is to the left of your letter "b".s
If it's to the right the answer is 1/4
--------------------------------------------

3. (1 point) Given that a route passes through B, what is the probability that it also passes through point C? Answer in fraction.
----
I'll leave the counting to you:
P(B|C| = P(B and C)/P(C)
=============================
Cheers,
Stan H.

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