Question

You get on an elevator on the first floor of a building with 10 floors. You push the button for the fifth floor. A random person gets on before the door closes and chooses a floor. What is the probability that the other person gets off the elevator before you

1. The probability that the other person gets off the elevator before you is 2/5.

### What is probability?

The possibility of an event occurring is known as probability. This might range from an occurrence being impossible to having a chance to happen to being certain for sure.
Probability is measured mathematically on a scale ranging from 0 to 1. A result of zero denotes an impossibility, such as throwing a seven on the a die with only numbers from 1 to 6.
The formula for calculating probability is-
Probability = Favourable outcome / Total outcome
According to a mathematical formula, probability is determined by dividing the entire number of possible outcomes of an event by the number of different ways that a favourable event might occur.
Calculation for the probability that the other person gets off the elevator before you (i.e., the person will get off before fifth floor)
The total number of floors are 10
Total outcome = 10
The person has to go upto 4th floor only.
Favourable outcome = 4
Probability = 4/10
= 2/5
Therefore, the the probability that the other person gets off the elevator before you is 2/5.
To know more about probability, here
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