TJ Prep Problems

TJ test prep practice problems  for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

A Probability Problem (Medium). Target Time 30-40 seconds.

At the TJHSST (TJ) graduation party, there are nearly 480 students. What is the probability that 1) at least five students have the same birth month and date?, 2) at least ten students have the same birth day (Mon-Sun)?, and 3) at least two students have the same birthday (matching birthday -  date, month and year?