Week 19 CMT Problem - 8th Grade


The Coin Toss


On the game board for the coin toss shown below:

  • the area of region A is 70 square inches,
  • the area of region B is 20 square inches, and
  • the area of region C is 5 square inches.
As shown on the game board, you get:

  • 2 points for landing in region A,
  • 5 points for landing in region B, and
  • 10 points for landing in region C.
If your coin lands on a border line, you get to toss the coin again.



If there is an equal chance of landing anywhere on the board, and if you make 25 tosses onto the board, where none of the tosses lands on a border line, how many points would you expect to get? _______________



Show your work and explain how you arrived at your answer.