Posted by **Mathslover** on Tuesday, May 14, 2013 at 5:21am.

Samir had prepared the problem tests for Stages 1 to 5 of Geometry and Combinatorics for next week but forgot to label which test was for which stage. Since Samir didn't label them, the computer assigned them labels 1 through 5 randomly, with each label appearing only once. The probability that the problems given to each stage are within one stage of what they were supposed to be can be expressed as a/b, where a and b are positive, coprime numbers. What is the value of a+b?

Details and assumptions

The computer randomly assigns each problem test to a stage, and each stage has exactly 1 problem test that is assigned. For example, the computer could assign the stage 1 problem test to stage 5 students, the stage 2 problem test to stage 4 students, the stage 3 problem test to stage 3 students, the stage 4 problem test to stage 2 students and the stage 5 problem test to stage 1 students.

## Answer this Question

## Related Questions

- MATH - JOhn had prepared the problem sets for Levels 1 to 5 of Geometry and ...
- algebra - Samir begins riding his bike at a rate of 6 mph. Twelve minutes later...
- Math - Police report that 88% of drivers stopped on suspicion of drunk driving ...
- geometry - The rectangular label will completely cover the lateral surface of ...
- geometry - The rectangular label will completely cover the lateral surface of ...
- math - A simple fractal tree Grows in stages. A each new stage, two new line ...
- Health (Ms. Sue) - Compare the stages of Maslow's hierarchy of needs. A: The ...
- microeconimics - one type of systematic error arises because people tend to ...
- Geometry helpp!! - Can anyone graph this please!!! 5. Perform these ...
- Geometry helpp!! - Can anyone graph this please!!! 5. Perform these ...

More Related Questions