Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? 19 29 13 59 spinner with 3 equal size regions labeled a, b, and c

Question

Mathematics

Frank Richardson

19 January, 04:10

Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? 19 29 13 59 spinner with 3 equal size regions labeled a, b, and c

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Quinn · Answer 1

Suppose the spinner lands on a. There's a 1/3 chance that it'll land on a the second time.

Suppose the spinner lands on b. There's a 1/3 chance that it'll land on b the second time.

Suppose the spinner lands on c. There's a 1/3 chance that it'll land on c the second time.

We've covered all possibilities for the first spin, and they're all equal, so their average is 1/3.

The probability that it'll land on the same letter twice is 33.3%.