Two measuring sticks are the exact same length. The scale units on the two sticks are different. Each stick is marked with equally spaced units. The first stick starts at 0 and has 462 marks. The second stick starts at 0 and has 385 marks. Suppose the sticks were lined up so the two zero marks were matched. The 462 mark and the 385 mark would also be matched exactly. As you scan the measuring sticks, starting at zero, what is the very next set of marks on the two sticks that match exactly? What other marks match? Explain how you know.

2.12 school absences. data collected at elementary schools in dekalb county, ga suggest that each year roughly 25% of students miss exactly one day of school, 15% miss 2 days, and 28% miss 3 or more days due to sickness.61 (a) what is the probability that a student chosen at random doesn’t miss any days of school due to sickness this year? (b) what is the probability that a student chosen at random misses no more than one day? (c) what is the probability that a student chosen at random misses at least one day? (d) if a parent has two kids at a dekalb county elementary school, what is the probability that neither kid will miss any school? note any assumption you must make to answer this question. (e) if a parent has two kids at a dekalb county elementary school, what is the probability that both kids will miss some school, i.e. at least one day? note any assumption you make.