Sunset Airlines is reviewing its check$-$in procedures in anticipation of its "two for the price of one" fare promotion. Presently, a single clerk spends an average of four minutes per passenger checking luggage and issuing boarding passes. Service times have an exponential distribution. Passenger arrivals are Poisson distributed with anticipated mean of $10$ per hour during flight operations.

What is the probability that an arriving passenger will be served immediately without waiting?

Group of answer choices

$0\mathrm{.}33$

$0\mathrm{.}75$

$0$

$0\mathrm{.}25$

$1$