SOLUTION: Along a stretch of road, two intersections have traffic lights. Having a red or a green light for the first intersection is equally likely. Having a red light at the second interse

Question 1140037: Along a stretch of road, two intersections have traffic lights. Having a red or a green light for the first intersection is equally likely. Having a red light at the second intersection is twice as likely as a green light, if the traffic light is red at the first intersection. What is the probability of having a red light at the first intersection and a green light at the second intersection?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

From the condition,


    - the probabilities to have G or R at the first intersection are each equal to  ;


    - if there is R at the first intersection, then the probability to have R at the second intersection is  ,  
         while the probability to have G at the second intersection is .



From it, the probability under the question is 


     = .      ANSWER

RELATED QUESTIONS
On your way to a particular location that you regularly travel, There are three... (answered by bucky)

The route from A to B passes two traffic light. at the first traffic light ,the red light (answered by Theo)

On the way to work a person passes through three intersections monitored by traffic... (answered by oscargut)

The probability that traffic lights on a certain road will be green is 0.6. When a driver (answered by robertb)

Identify the sample and the population for each situation. A marine biologist randomly (answered by Boreal)

Having trouble with this problem: On a certain street are three traffic lights. At any... (answered by rothauserc)

The cycle of a traffic light at an intersection of two streets is 35 seconds green, 5... (answered by ikleyn)

If you run a red traffic light at an intersection, there is a .1 probability tha tyou... (answered by stanbon,fcabanski,solver91311)

A traffic light flashes red for 50 seconds, yellow for 5 seconds, and green for 65... (answered by stanbon)