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A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that jonas will get an orange and Beth will get an apple

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Since Jonas takes a piece of fruit first, his probability of getting an Orange is 5/13 or about 38.46%.
Now since Beth takes a piece of fruit after Jonas, there's only 12 pieces left, so the probability of her getting an orange is 5/12, or 41.6666%.
Hope this helps!!