Of the 14 financial assets in an investment portfolio, 9 increased in value at the end of a reporting period. If three of these assets are randomly selected, without replacement, find the probability that:

a. all three increased in value.

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b. only the first two increased in value.

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c. only two increased in value.

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d. none of the three increased in value.

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e. at least one increased in value.

Round to 3 decimal places