SOLUTION: Three are three traffic lights along the route that Ama rides from school to her home. The three lights operate independently. The probability that any one of the lights is green i

Question 1011823: Three are three traffic lights along the route that Ama rides from school to her home. The three lights operate independently. The probability that any one of the lights is green is 0.4 and the probability that it is not green is 0.6. Estimate the probability that these lights will all be green on Ama's way home from school.
Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
.4 * .4 * .4 = .064
there is a 6.4% probability that all lights will be green when she encounters them.

if you think about it as percentages, and assume that she does a tally over 1000 trips to school, then you can think about it as follows:

40% of the rime the first light will be green.
that's 400 trips out of 1000.

in those 400 trips that the first light was green, the second light will be green 40% of the time for a total of .4 * 400 = 160 times.

in those 160 times that the first and second light was green, the third light will be green 40% of the time for a total of .4 * 160 = 64 times.

64 times out of a thousand = 64 / 1000 = .0064 = 6.4%.

RELATED QUESTIONS
On the way to work a person passes through three intersections monitored by traffic... (answered by oscargut)
Having trouble with this problem: On a certain street are three traffic lights. At any... (answered by rothauserc)
On your way to a particular location that you regularly travel, There are three... (answered by bucky)
There are three sets of traffic lights on Zimmer’s journey to work. The independent... (answered by ikleyn)
On a certain street are three traffic lights. At any given time, the probability that a... (answered by edjones)
Josie leaves home on her bicycle and rides out to the edge of the forest for three hours. (answered by ankor@dixie-net.com)
the chance that the traffic lights are against you on the way to work is 0.6. if you... (answered by stanbon)
Question 9. On their way to work, Andrew passes 15 sets of traffic lights and Pauline... (answered by ikleyn)
For a square plot,all side has three lights each. For one light costs Rs 10/- then what... (answered by JulietG)