Question

on his way to work each day, steve encounters one traffic light. he records the color of the light each day by marking \g\ for green and
\ for red. estimate the probability that steve encounters a green light on any given day.
g g g r r g r g g r r r r g g g g r r g
(1 point)
\\(\frac{20}{2}\\)
\\(\frac{11}{20}\\)
\\(\frac{9}{20}\\)
\\(\frac{2}{20}\\)

Explanation:

Step1: Count the total number of observations

Count the number of characters in "GGGRRRGRGGRRRRRGGGGGRRG". There are \(20\) characters.

Step2: Count the number of favorable outcomes (green lights)

Count the number of "G"s. There are \(11\) "G"s.

Step3: Calculate the probability

The probability \(P\) of an event is given by \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{11}{20}\)

Answer:

\(\frac{11}{20}\)