Ten (10) identical cars are going to compete in a race. Reliability of each car for the duration of one race is 0.95. What is the probability that at least one of these race cars fails during the race?
Ans:
Reliability or probability of not failing a car during the race=0.95
There are 10 identical cars.
Probability that at least one of these cars fails during the race=1-P(none of the cars fails)
=1-0.95^10
=1-0.5987
=0.4013
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