Question

Arianne drives by a stop light near her home once every morning. The stop light has red, yellow, and green lights. She wants to know the probability of the light being red on two mornings. ​Which list represents the sample space for two mornings at the stop light?

Answer 1

red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow /green, green/red, green/yellow, green/green

Step-by-step explanation: You just have to do each sample space. I hope this helps. :)

Answer 2

The list that represents the sample space for two mornings at the stop light is:

(R,R)

(R,G)

(R,Y)

(Y,R)

(Y,G)

(Y,Y)

(G,R)

(G,G)

(G,Y)

11.11% probability of the light being red on two mornings.

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

We build the sample space similar to a truth table.

I am going to say that R is red, Y is yellow and G is green

The sample space for two mornings is:

All the possible outcomes, that is:

(R,R)

(R,G)

(R,Y)

(Y,R)

(Y,G)

(Y,Y)

(G,R)

(G,G)

(G,Y)

The size of the sample space is 9(9 total outcomes). Only one outcome is desired, (R, R). So

p = 1/9 = 0.1111

11.11% probability of the light being red on two mornings.