Question

Jessica wrote a computer program to create colored shapes. The shapes are either squares or circles and both are equally likely. The colors are either blue, red, or green, and each is equally likely. What is the probability the computer program will create a green circle?

Answer 1

Answer: 16 2/3%

Explanation:

Given that:

Shape are either square or circle with both equally likely :

Hence,

P(square) = 1/2 ; P(circle) = 1/2

Color are either blue, red or green with the three equally likely ;

P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3

Probability of creating a green circle :

Independent probability

P(green n circle) = p(green) * p(circle)

P(green n circle) = 1/3 * 1/2

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%