To find the probability, we need to determine the number of favorable outcomes (both ornaments are gold) and divide it by the number of total possible outcomes.
There are 4 gold ornaments in the bag. When we randomly select the first one, there are 4 gold ornaments out of a total of 7 ornaments.
After selecting the first gold ornament, there are now 3 gold ornaments remaining out of a total of 6 remaining ornaments. Thus, the probability of selecting a second gold ornament after the first one is 3/6.
To find the overall probability, we multiply the probabilities of each event happening together. Therefore, the probability of picking two gold ornaments from the bag is (4/7) * (3/6) = 12/42 = 2/7 ≈ 0.2857.
So, the probability that both ornaments will be gold is approximately 0.2857 or 28.57%.
A bag contains three green Christmas ornaments and four gold ornaments. If you randomly pick two ornaments from the bag, at the same time, what is the probability that both ornaments will be gold?
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