From the urn in which there are 3 black and 7 white balls take out 2 balls, what is the probability that both balls will be black?

The total number of balls in the urn is 3 + 7 = 10.

The probability of removing the black ball at the first withdrawal is 3/10, the probability of removing the black ball at the second withdrawal, provided that the black ball was also drawn first 2/9.

The probability that both balls will be black is equal to the product of the probabilities that a black ball was drawn during the first extraction and the second extraction:

3/10 * 2/9 = 1/15.

Answer: 1/15.



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