Jake carries a green a yellow and a black guitar pic in his pocket. he randomly chooses a guitar pic from his pocket before every concert. what is the probability he will select the same guitar pic for two concerts ina row

B = Black
G = Green
Y = Yellow
The total number of ways that he can pick a pic are 3 * 3 * 3 = 27 ways
If he picks Black for the first pic The number of successful ways that he picks two in a row are
B B G
B B Y
B G G
B Y Y  Total 4 ways.
If he picks Green first the number of ways are
G G B
G G Y
G B B
G Y Y Total 4 ways
If he picks Yellow first then the number of ways are
Y Y B
Y Y G
Y B B
Y G G And again there are 4 ways

In all we have 12 successes
There are 12/27 chances of picking 2 pics in a row that are the same color.
4/9 <<<< answer

There must be some way to represent this using combinations, but I'm not sure what it is. However this method works.

 

The answer for this question is 80

Set square i think so