Weiqi has two fair triangular spinners. The sides of one spinner are labelled 1, 2, 3, and

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Weiqi has two fair triangular spinners. The sides of one spinner are labelled 1, 2, 3, and the sides of the other are labelled 2, 3, 4. Weiqi spins them simultaneously and notes the two numbers on which they come to rest.

a. Find the probability that these two numbers differ by 1.

b. Weiqi spins both spinners simultaneously on 15 occasions. Find the probability that the numbers on which they come to rest do not differ by 1 on exactly eight or nine of the 15 occasions.

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