### Brain Teasers

# Hotel Ade

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

Mad Ade has just inherited a hotel from his rich Auntie Climax.

The rooms are numbered from 101 to 550.

A room is chosen at random for Mad Ade's first guest.

What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?

The rooms are numbered from 101 to 550.

A room is chosen at random for Mad Ade's first guest.

What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?

### Answer

There are total 450 rooms.Out of which 299 room numbers start with either 1, 2 or 3.

Now out of those 299 rooms only 90 room numbers end with 4, 5 or 6.

So the probability is 90/450 i.e. 1/5 or 0.20

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