They took a coding test where you have to secure full marks to clear. Then two interviews, one HR and one technical, were held. Then the final results came, and 7 of us were selected from IIT Bombay out of [number] students for interview.

Question: You have 50 red marbles, 50 blue marbles, and 2 jars. One of the jars is chosen at random, and then one marble will be chosen from that jar at random. How would you maximize the chance of drawing a red marble? What is the probability of doing so? All 100 marbles should be placed in the jars.

Question: Three ants are sitting at the three corners of an equilateral triangle. Each ant randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?

Question: You have a stream of bytes from which you can read one byte at a time. You only have enough space to store one byte. After processing those bytes, you have to return a random byte. Note: The probability of picking any one of those bytes should be equal.