Question: A professional proofreader has a 98% chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). A work contains four errors.
a. Find the probability that the proofreader will miss at least one of them.
b. Show that two such proofreaders working independently have a 99.96% chance of detecting an error in a piece of written work.
c. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors.