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A spinner of a board game can land on any one of three regions​ labeled: A,​ B, and C. If the probability the spinner lands on B is five times that offive times that of ​A, and the probability the spinner lands on C is three times that ofthree times that of ​A, find the probability the spinner lands on A.

1 Answer

5 votes

Answer: 1/9

Explanation:

Let's call x the probability of landing in A

So, probability of landing on B is 5x and probability of landing on C is 3x.

As we only have this options, the probabilities A + B + C = 1. So,

x + 5x + 3x = 1

9x = 1

x = 1/9

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