Question: By mistake, a student who is running a computer program enters with negative signs two of the six positive numbers and with positive signs two

By mistake, a student who is running a computer program enters with negative signs two of the six positive numbers and with positive signs two of the four negative numbers. If at some stage the program chooses three distinct numbers from these 10 at random and multiplies them, what is the probability that at that stage no mistake will occur?

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