Question

Alice spins the spinner 2 times. What is the probability that the spinner stops on A and then B, or on B and then A? 19 29 13 59

Answer 1

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

      $=\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}\\\\=\frac{1}{3}$

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

     $\\\\=P(A)*P(B)+P(B)*P(A)\\\\=\frac{1}{3}*\frac{1}{3}+\frac{1}{3}*\frac{1}{3}\\\\=\frac{1}{9}+\frac{1}{9}\\\\=\frac{2}{9}$    

Option B: $\frac{2}{9}$

Answer 2

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

** do not simplify it