IIT'an real problem

Number Theory Level pending

Four students reached late in the class and made an excuse to teacher that they had a flat tyre while coming to the college by car.The teacher asked them to sit at four distant seats with each other and answer the question "Which tyre of the car was flat ?" What is the probability that all four give same answer and their lies not get caught. Assume that students lied. And they now say that they answered randomly. Don't know what is the correct answer. Plz post asap

1/4 1/16 1/32 1/64 1/256


The answer is 0.003.

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