The probability of finding a size 7 ring in 18-karat gold or platinum can be calculated by dividing the number of size 7 rings in 18-karat gold or platinum by the total number of rings in 18-karat gold or platinum.
Let's first calculate the total number of size 7 rings in 18-karat gold or platinum:
- There are 4 types of rings (emerald, ruby, sapphire, diamond)
- Each type of metal (18-karat gold or platinum) has 4 sizes (5, 6, 7, 8)
- There are 2 types of metals (18-karat gold and platinum)
Total number of size 7 rings in 18-karat gold or platinum = 4 (types of rings) * 1 (size 7) * 2 (types of metal) = 8 rings
Now, let's calculate the total number of rings in 18-karat gold or platinum:
- Each type of ring (14-karat gold, 18-karat gold, platinum) has 4 sizes and 4 types of gemstones
Total number of rings in 18-karat gold or platinum = 4 (sizes) * 4 (types of gemstones) = 16 rings
Therefore, the probability of finding a size 7 ring in 18-karat gold or platinum is:
Probability = Number of size 7 rings / Total number of rings = 8 / 16 = 0.5 or 50%
So, the closest answer is 25%, which is not the exact calculation but given options, the most appropriate would be 25%.
A jewelry store sells 14-karat gold rings, 18-karat gold rings, and platinum rings. Each ring is set with an emerald, ruby, sapphire, or diamond. Whole-number ring sizes are 5, 6, 7, and 8. Determine the probability of finding a size 7 ring in 18-karat gold or platinum.(1 point)
Responses
25%
25%
8.33%
8.33%
12.5%
12.5%
16.67%
1 answer