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Probability?

A box contains several blocks. Purple, Gold, and White. The probability of the purple block is 1/4 and the probability of the gold is 3/8. The probability of the white is 3/8. If the box contains 12 purple blocks and 18 gold blocks, how many total blocks does it contains? Help. Can you explain it.

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A 1/4 chance of purple means that 12/X = 1/4. X is the total number of blocks = 48.

A 3/8 chance of gold means that 18/X = 3/8. X is the total number of blocks again. 18 x 8 divided by 3 = 48.