Respuesta :

i just took the test on k12 and the answer is 2/9

** do not simplify it

Answer with explanation:

Number of section on the Spinner = A or B or Neither A nor B.⇒Total favorable Outcome

Probability of Spinner spinning on either of three section

      [tex]=\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}\\\\=\frac{1}{3}[/tex]

Probability  that the spinner stops on A and then B, or on B and then A

     [tex]\\\\=P(A)*P(B)+P(B)*P(A)\\\\=\frac{1}{3}*\frac{1}{3}+\frac{1}{3}*\frac{1}{3}\\\\=\frac{1}{9}+\frac{1}{9}\\\\=\frac{2}{9}[/tex]    

Option B: [tex]\frac{2}{9}[/tex]