Respuesta :
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Total area of square inches = 400
The area of the large circle = 314
Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,
Let E be the event the Trisha will get points .
so,
[tex]P(E)=\frac{314}{400}[/tex]
As we know that
[tex]P(E')=1-P(E)\\\\P(E')=1-\frac{314}{400}\\\\P(E')=\frac{400-314}{400}\\\\P(E')=\frac{86}{400}\\\\P(E')=0.215=0.22[/tex]
So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22
So, First option is correct.
