MATH 214 Midterm: MATH214_ALL-SECTIONS_SPRING2012_0000_MID_SOL_1

• School: University of Maryland
• Department: Mathematics
• Course: MATH 214
• Professor: All

Document Summary

For each box in the grid, one can calculate the sum of the two dice and then assign a, B, or c to that box depending on which player scores the point on that roll: From this grid, it is easy to see that the game is fair because each player has 12 of the 36 boxes (i. e. a 1/3 probability of scoring a point) 6: a) he should choose the first bag. Second spin (b or c, depending on the color of the first spin) b) sum probability. There are ten possible sequences of vehicles in which exactly one is a commercial vehicle. For instance, one could have the sequence in which only the first vehicle is commercial and the rest are not. Or, only the second vehicle is commercial and the other nine are not. The one commercial vehicle in your sequence can appear in any of the ten slots" of the sequence.