Three boxes contain 6 red, 4 black; 4 red, 6 black; and 5 red, 5 black balls respectively. One of the boxes is selected at random and a ball is drawn from it. If the ball drawn is red, then what will be the probability that it is drawn from the first box?

1
\(\frac{1}{2}\)
2
\(\frac{2}{5}\)
3
\(\frac{1}{3}\)
4
\(\frac{3}{5}\)

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