Homework Soursea runner is running two races he has a 20 chance of winning
a runner is running two races. he has a 20% chance of winning race A and a 50% chance of winning race B. assume the events are independent. what is the probability that he wins neither race? what is the probability that he wins one race?
a runner is running two races. he has a 20% chance of winning race A and a 50% chance of winning race B. assume the events are independent. what is the probability that he wins neither race? what is the probability that he wins one race?
a runner is running two races. he has a 20% chance of winning race A and a 50% chance of winning race B. assume the events are independent. what is the probability that he wins neither race? what is the probability that he wins one race?
a runner is running two races. he has a 20% chance of winning race A and a 50% chance of winning race B. assume the events are independent. what is the probability that he wins neither race? what is the probability that he wins one race?
a runner is running two races. he has a 20% chance of winning race A and a 50% chance of winning race B. assume the events are independent. what is the probability that he wins neither race? what is the probability that he wins one race?
Solution
probability of winning race A = P(A) = 0.2
hence probability of loosing race A = 1-P(A) = 0.8
probability of winning race B = P(B) = 0.5
probability of loosing race B = 1-P(B)=0.5
since events are independent
P(loosing race A and loosing race B) = (1-P(A)).(1-P(B))= 0.8*0.5=0.4
P(winning one race)=P(winning race A) +P(winning raceB)-P(winning A and winning B)
= 0.2+0.5-0.2*0.5
=0.6
