8. Magic Pies (6th - 11th grades, 1 point). Alice has six magic pies in her pocket - two are enlarging (eat one and you grow), and the rest are shrinking (eat one and you shrink). When Alice met Mary Ann, she took out three pies from her pocket without looking and gave them to Mary. Find the probability that one of the girls has no enlarging pies at all.
Solution. One of the increasing pies (IncP), undoubtedly, ended up with one of the girls. We need to find the probability that the second IncP also ended up with her. This girl, after the distribution, has two more pies out of the remaining five, in addition to the first IncP. Therefore, the probability that the second IncP is one of these two is $\frac{2}{5}$.

Answer: 0.4.