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You have two acrylic paintings and two oil paintings. You randomly select a painting to sell, and then you randomly select a different painting to present at a gallery. Find the probability that you selected an acrylic painting to sell, given that you randomly selected an oil painting to present at the gallery. Express your answer as a fraction in simplest form.Probability:

Question

You have two acrylic paintings and two oil paintings. You randomly select a painting to sell, and then you randomly select a different painting to present at a gallery. Find the probability that you selected an acrylic painting to sell, given that you randomly selected an oil painting to present at the gallery. Express your answer as a fraction in simplest form.Probability:

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Solution

To solve this problem, we need to understand the concept of conditional probability.

Step 1: Identify the total number of paintings. We have 2 acrylic paintings and 2 oil paintings, so we have a total of 4 paintings.

Step 2: We are given that an oil painting was selected to present at the gallery. This means that one of the oil paintings is no longer available for selling. So, we now have 3 paintings left (1 oil painting and 2 acrylic paintings).

Step 3: We need to find the probability that we selected an acrylic painting to sell. Since there are 2 acrylic paintings left out of 3 total paintings, the probability is 2/3.

So, the probability that you selected an acrylic painting to sell, given that you randomly selected an oil painting to present at the gallery, is 2/3.

This problem has been solved

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