MathDB

Every day you go to the music practice rooms at a random time between

12\text{AM}

and

8\text{AM}

and practice for

3

hours, while your friend goes at a random time from

5\text{AM}

11\text{AM}

and practices for

1

hour (the block of practice time need not be contained in he given time range for the arrival). What is the probability that you and your meet on at least

2

days in a given span of

5

days?

Problem Statement