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The probability that both marbles will be black is 1/7
Here, we want to get a probability
Firstly, the total number of marbles is 3 + 4 = 7 marbles
Firstly, he takes out 1 marble
The probability that this is black will be the number of black marbles divided by the total number of marbles which is 3/7
Now, in the bag, there would be 6 marbles left and 2 black marbles
The probability of now selecting a black marble would be 2/6
Finally, the probability that both marbles will be black in the situation would be the product of this two probability
We have this as;
[tex]\frac{3}{7}\times\frac{2}{6}\text{ = }\frac{1}{7}[/tex]