Question

Half of the passengers who travel on a train buy the 'Daily Boom' before boarding. The train is full and each compartment holds 8 passenger. What is the probability that all the passengers in the compartment have bought the 'Daily Boom'?

What is the probability that at least one of the passengers has bought the 'Daily Boom'? What is the probability that exactly three passengers in a compartment have bought the 'Daily Boom'?

Answer 1

`3.9%`

Explanation:

There is a `50%` chance that any one passenger has bought it. The chance that all `8` have succeeded a `50%` check is

`0.5xx8` or `0.5^8`

Which is `0.00390625`.

As `0.5` represents a `50%` chance,
`0.0039` represents a `3.9% chance`