Probability of landing in a 2 pt square=

Area 2 pt squares/total area=9/25=.36.

Probability of landing in a 5 pt square=

Area of 5 pt squares/total area=12/25=.48.

Probability of landing in a 10 pt square=

Area of 10 pt squares/total area=4/25=.16.

When 50 darts are thrown the probability of landing in a:

2 pt square=.36*50=18.

5 pt square=.48*50=24.

10 pt square=.16*50=8.

After an infinite amount of people played a game of 50 darts, assuming that they threw randomly, without aiming, and darts were not allowed to land outside the board, the average of the scores should be:

18*2 pts+24*5 pts +8*10 pts= 36+120+80=236 pts.