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Days, weeks and months passed. After 117 days, the super batteries were charged fully. Jack said goodbye to William, and told that he was going to different country. Jack checked everything twice. He timed the time machine for 2015, his home and started. And when he came out of the portal, he finally found something familiar.

If instead of Time direction module, there was an inbuilt Time direction program which randomly assigns travel direction, what is the probability of ending up in future?


  1. 1/4

  2. 0

  3. 1/2

  4. 1/3


Solution

The correct option is D

1/3


Suppose you don’t know in which direction the Time direction module is plugged in the time machine. Now if you start travelling, the direction you would travel to may be future or past. There are two possibilities, just like when you toss a coin. When you toss a coin, you can either get a head or a tail. The probability of getting a head or a tail is 12. But you can never know for sure whether you will get a head or a tail. Similarly, here also probability that you would go to future will be 12 because you don’t know the direction of the Time direction module.

In our case, the number of outcomes being 3 which is past, present and future. The probability of ending up in future = 13

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