Spock and Kirk are exploring a new planet, Probby. They need to find out the approximate length of a year on this planet (because otherwise an unnamed crew member will be vaporized). Lucky for them they have access to a database of birthdays. Spock does a non-trivial analysis and discovers that in a group of 33 people there is a 50/50 chance that at at least 2 people will share a birthday. You, an unnamed crew member, must use this information to find the approximate length of a year on this planet