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

For the people coming for the iready question answer, the answer is 1/3 lol

Explanation:

Answer 2

`\bf\textbf{The required probability = }(4)/(9)`

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 = (12)/(27)=(4)/(9)`

`\bf\textbf{Hence, The required probability = }(4)/(9)`