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
Accepted Solution
A:
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.