Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
(a)
The robot will work only if all the micro controller works on the competition day.
The probability of the micro controller's failing is
.
The probability of the micro controller's success is
.
Hence, the required probability is
.
(b)
From the three micro controller, one can be chosen in
ways.
The probability here is
.
(c)
If from the four micro controllers, one fails, then also they can manage to make the robot work.
From the 4, 1 can be chosen in 4 ways.
This one can either work properly or not.
<u>If it works properly, then the probability of other 3 will work properly is</u>
.
<u>If the chosen one does not work properly, then the probability of other 3 will work properly is</u>
.
The required probability is
.
(d)
In this case there are total 6 micro controllers.
From these 6 controllers, 3 can be chosen as
ways.
The probability that the team is able to reshuffle the micro controllers to make one robot work is
.