Out of every 100 cars that start in the Maryland Grand Prix

Out of every 100 cars that start in the Maryland Grand Prix race, only 60 finish. Two cars are entered by the UMUC team in this year\'s race. What is the probability that both will finish? What is the probability that neither of UMUC\'s 2 cars will finish the grand prix?

Solution

Probability that each car finish the race=60/100=0.6

Here, the event that each car will finish the race is independent of each other.

(a)

So, the probability that 2 cars entered by UMUC both will finish the race=0.6*0.6=0.36

(b)

The probability that neither of the UMUC\'s 2 cars will finish the race=(1-0.6)*(1-0.6)=0.4*0.4=0.16