A bag contains only gold and blue counters in a ratio of 6:10. If I remove a counter at random, what is the probability that it will be blue? Give your answer as a fraction in its simplest form.

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Answer: 5/8

Step-by-step explanation: A ratio of 6:10 tells us that for every six gold counters, there are 10 blue counters.

Probability is the chance of an event happening. So, the probability of removing a blue counter would be (number of blue counters)/(total number of counters).

Since the ratio remains the same, we don't need to know the exact number of blue counters. We can assume that there are 10 blue counters.

To find the total, we can add the numbers in the ratio together (the number of gold counters + the number of blue counters). 6+10 gives us 16.

In this ratio, the total number of counters is 16 and the number of blue counters is 10.

Our fraction becomes: 10/16.

To simplify, we can divide both the numerator and denominator by 2. This gives us our answer of 5/8.

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