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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

asked
User RNJ
by
8.5k points

2 Answers

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

** do not simplify it
answered
User Vadzim
by
8.4k points
2 votes

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}}\\\\=(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)\\\\=(1)/(3)*(1)/(3)+(1)/(3)*(1)/(3)\\\\=(1)/(9)+(1)/(9)\\\\=(2)/(9)

Option B:
(2)/(9)

answered
User Igor Romanov
by
8.2k points
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