Question

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 1

The answer is 1/3...I got this question on I-ready and I hate when I don't pass a lesson...hope this will help you guys out.

Answer 2

Answer:

$\bf\textbf{The required probability = }\frac{4}{9}$

Step-by-step explanation:

The total number of ways that he can pick a pic are 3 × 3 × 3 = 27 ways

If Jake selects the black pic in the first concert, then number of ways of success are :

B B G

B B Y

B G G

B Y Y  

Total number of success = 4

If Jake selects the green pic in the first concert, then number of ways of success are :

G G B

G G Y

G B B

G Y Y

Total number of success = 4

If Jake selects the yellow pic in the first concert, then number of ways of success are :

Y Y B

Y Y G

Y B B

Y G G

Total number of success = 4

Therefore, in all the three cases total number of successes are :

4 + 4 + 4 = 12

$Probability = \frac{\text{Number of successful ways}}{\text{Total number of ways}}\\\\\implies Probability = \frac{12}{27}=\frac{4}{9}$

$\bf\textbf{Hence, The required probability = }\frac{4}{9}$