Sysadmin Mathematics 2009 half-yearly exam
Published August 14th, 2009 by Barney DesmondPart A
Use a fresh answer book for this part. Show all working-out with your answers. Approved graphing calculators may be used.
It is 4am on a Friday morning and Eirin has been woken by an SMS from the emergency support line. A colocation customer’s server is offline, and she needs to visit the datacentre. Due to sleep-deprivation and/or ethanol intoxication, Eirin is unable to find the lightswitch, but needs to throw on some clothes and get there ASAP.
Her wardrobe contains three skirts {black,black,red}, four tops {purple,blue,black,black} and two pairs of comfortable shoes {black heels,black sneakers}. Each piece of clothing is chosen at random.
- How many distinct outfits does Eirin have available?
- What is the probability that Eirin will have a coordinated outfit?
- How much easier is it to just pick up whatever’s lying on the floor from last night?
- Will it be faster for her to put her hair in a single french braid, or twintails?
- What is the probability that the colocation customer has done something totally silly, like changing their firewall configuration and subsequently looking themselves out in the process?
- How much will Anchor charge the customer for this out-of-hours callout?





















