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A message can follow different paths through servers on a network. The sender’s message can go to one of five servers for the first step; each of them can send to five servers at the second step; each of those can send to four servers at the third step; and then the message goes to the recipient’s server.
a. How many paths are possible?
b. If all paths are equally likely, what is the probability that a message passes through the first of four servers at the third step?

Respuesta :

akiran007

Answer:

Number of way s= N=100

The probability that it passes through  first of four servers at the third step is 0.25

Step-by-step explanation:

The total number of possible ways can be found out by multiplying the possibilities so the possibilities at the

1st stage is  5

2nd stage is 5

3rd stage is  4

4th stage is 1

So Number of way s= N= 5*5*4= 100

This can be solved by drawing a tree diagram as well.

Now the probability of finding the  that a message passes through the first of four servers at the third step.

There are five paths

And we have to find the probability of four

So 5C1*5C4/100= 0.25

The probability that it passes through  first of four servers at the third step is 0.25

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