A bag contains twelve balls labeled 1 through 12. One ball will be randomly picked.What is the probability of picking an even number?Write your answer as a fraction in simplest form.
Question
A bag contains twelve balls labeled 1 through 12. One ball will be randomly picked.What is the probability of picking an even number?Write your answer as a fraction in simplest form.
Solution
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First, identify the total number of outcomes. In this case, there are 12 balls, so there are 12 possible outcomes.
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Next, identify the number of favorable outcomes. The favorable outcomes are the even numbers. The even numbers between 1 and 12 are 2, 4, 6, 8, 10, and 12. So, there are 6 favorable outcomes.
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The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability of picking an even number is 6/12.
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Simplify the fraction 6/12 to its simplest form. Both 6 and 12 are divisible by 6, so the fraction simplifies to 1/2.
So, the probability of picking an even number is 1/2.
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