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

Answer:[tex]\bf\textbf{The required probability = }\frac{4}{9}[/tex]Step-by-step explanation:The total number of ways that he can pick a pic are 3 × 3 × 3 = 27 waysIf Jake selects the black pic in the first concert, then number of ways of success are :B B GB B YB G GB Y Y  Total number of success = 4If Jake selects the green pic in the first concert, then number of ways of success are :G G BG G YG B BG Y Y Total number of success = 4If Jake selects the yellow pic in the first concert, then number of ways of success are :Y Y BY Y GY B BY G GTotal number of success = 4Therefore, in all the three cases total number of successes are : 4 + 4 + 4 = 12[tex]Probability = \frac{\text{Number of successful ways}}{\text{Total number of ways}}\\\\\implies Probability = \frac{12}{27}=\frac{4}{9}[/tex][tex]\bf\textbf{Hence, The required probability = }\frac{4}{9}[/tex]