A fruit bowl contains a mixture of oranges, apples and lemons. The ratio of oranges to apples is 5:7. Marino picks a piece of fruit at random from the fruit bowl. The probability that it is an orange is 1/3. What is the probability it is a lemon? Give your answer in a simplified form.

Question

06-04-2024
Mathematics

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A fruit bowl contains a mixture of oranges, apples and lemons. The ratio of oranges to apples is 5:7. Marino picks a piece of fruit at random from the fruit bowl. The probability that it is an orange is 1/3. What is the probability it is a lemon? Give your answer in a simplified form.

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Angelinacat369 Angelinacat369 · Answer 1 · 2024-04-06T18:20:14+02:00

Answer: 1/5

Step-by-step explanation: Since the probability of picking an orange is 1/3, you'll need to multiply 5 by 3 to find the total number of parts. This will give you 15. So since you know that there are 15 parts in total, you'll need to do the calculation 15-(5+7) to give you the ratio of lemons, which is 3. To find the probability, you simply just have to put the ratio of lemons over the total number of parts, giving you 3/15. Now, all you need to do is simplify. As 3 goes into 15 5 times, the simplified fraction is 1/5.