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The well-known Microsoft company once had such an interview question when recruiting employees.

It's simple.

The practical problem is that three ants will not meet in the same direction, but will meet in different directions.

Because the direction of each ant is randomly selected, that is, the direction probability of each ant is 1/2.

So we just need to consider whether the two ants are in the same direction as the third ant.

The probability that two ants are in the same direction as the third ant is 1/4.

So the probability of not meeting is 1/4.