Starbuds sees customers arriving at its store according to a Poisson process with a rate of 12 per hour from 9:00a to 6:00p each day during its open hours.

The last customer came in at 4:20p and then left at 5:00p. No one has been in since. It is now 5:50 and the staff want to go home.

What is the probability that they will miss one or more customers if they close up 10 minutes early? (four decimals)