Question

g There are 3 signal transmitters T1,T2 and T3. Each one sends a signal to a receiver R and R sends three signals back to the three transmitters in a random way, so that each transmitter sends a signal and also receive a signal. What is the probability that at least one transmitter receives the signal sent by itself? What if there are n transmitters?

Answer 1

Answer:

Recall that probability is given as; the number of required outcome over the number of total possible outcome.

The probability that a transmitter receives the signal being sent by itself is given as $\frac{1}{3}$.

when there are n transmitters, the probability will be given as $\frac{1}{n}$

Step-by-step explanation:

Probability simply the likelihood of an event occurring or not occurring.

Probability therefore is given as; the number of required outcome over number of possible outcome.

In the case of the first part above we have the number of required outcome to be at least one divided by the number of possible outcome which is 3.

while in the second part we have the number o possible outcome to be n.