We have been given a graph of a board. We are asked to find the probability that dart will hit in region II.
The probability that dart will hit the region II will area of region II over area of board.
Let us find area of region II. We can see that one side of region II is 35 and other is 20.
[tex]\text{Area of Region II}=35\times 20[/tex]
[tex]\text{Area of Region II}=700[/tex]
Length of board would be [tex]35+15=50[/tex]
Width of board would be [tex]20+8=28[/tex]
[tex]\text{Area of board}=50\times 28[/tex]
[tex]\text{Area of board}=1400[/tex]
[tex]\text{Probability that dart will land in region II}=\frac{700}{1400}[/tex]
[tex]\text{Probability that dart will land in region II}=\frac{1}{2}[/tex]
[tex]\text{Probability that dart will land in region II}=0.5[/tex]
Therefore, the probability that dart will land in region II is 0.5.
