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The odd numbers on the spinner are 3 and 1 out of 3 total numbers, so the probability of landing on an odd number is 2/3.
The numbers greater than 2 on the spinner are 3 and 4 out of 3 total numbers, so the probability of landing on a number greater than 2 is 2/3.
To find the probability of both events happening, we multiply the probabilities together:
(2/3) x (2/3) = 4/9
Therefore, the probability of landing on an odd number and then landing on a number greater than 2 is 4/9.