There are two traffic lights on Fred’s route from home to work. Over the years Fred has tracked when he has to stop at these lights. He determined that 45% of the time he has to stop at the first light; 30% of the time he has to stop at the second light, and 20% of the time he has to stop at both lights.Let A be the event that Fred has to stop at the first light. Let B be the event that Fred has to stop at the second light. What is the probability that Fred has to stop at one or more lights on his way to work?0.6150.550.650.95

Downsville has two computer-controlled traffic lights on a major city street. The probability of getting a red light is 0.45, and the probability of getting a red light at the second one is 0.20 if you had been stopped at the first one. What is the probability of being stopped by red lights at both intersections? (2 marks)

An airport security has two checkpoints. Let A be the event that the first checkpoint isbusy, and B be the event that the second checkpoint is busy. Assume that Pr(A) = 0.2,Pr(B) = 0.4 and Pr(A ∩ B) = 0.08. Find the probability that neither of the two checkpointsis busy

Carlos plays college soccer. He makes a goal 65% of the time he shoots. Carlos is going to attempt two goals in a row in the next game. A = the event Carlos is successful on his first attempt. P(A) = 0.65. B = the event Carlos is successful on his second attempt. P(B) = 0.65. Carlos tends to shoot in streaks. The probability that he makes the second goal given that he made the first goal P(B/A ) is 0.90. What is the probability that he makes both goals P (A and B)?

The event A has probability 0.13 of occurring; and the event B has probability 0.34 of occurring. Also it is known that P(A and B) = 0.1. Calculate P(A or B) to two decimal places.

There are 30 cars crossing the roadway every hour. What is the probability that only one car will cross in next 5 minutes?A.0.2052B.0.9179