Multiple choice

Four students reached late in a class and made an excuse to the teacher that they had a flat tyre while coming to the college by car. The teacher asked them to sit at four distant seats and made them to answer the same question “which tyre of the car was flat”? What is the probability that all the four give the same answer and their lie is not caught? Assume that students had told lie to the teacher and they will now select their answers randomly.

  1. 1/4

  2. 1/64

  3. 1/256

  4. 1/16

  5. 1/32
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are 4 tyres in a car. A person can answer any of the four tyres as flat. Thus, all the four students have four options for giving their answers. There can be 4*4*4*4 = 256 different answers. Out of these, only 4 possibilities are there in which all the four students choose the same tyre as flat. That happens when the first person answers any of the four tyres and remaining three choose the same one. So the required probability is 4/256 = 1/64.

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