Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi
ng that is 22 meters high with one of the radios and stands directly above the building’s entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter?
long leg is the height of Lyra. 22 meters high from the entrance. short leg is the distance of Donna. 50 meters from the entrance. We need to solve for the hypotenuse or the range of communication.
The number of possibilities for the first one is 50 choose 5, and the number of possibilities for the second one is 60 choose 6. Since 50 choose 5 is 2118760 and 60 choose 6 is 50063860. There are less possible outcomes for state "A" and therefore you have a higher chance of winning.