## nuccioreggie one year ago ;elp

1. nuccioreggie

2. nuccioreggie

@DanJS. P)ease explain. Both parts please

3. DanJS

To find the probability of hitting the black circle, you have to compare the area of the circle to the area of the white region

4. DanJS

They give you the diameter is 2, so the radius is 1, and the area of a circle is pi*r^2 = pi* 1 = pi

5. DanJS

The area of the white region , is the area of the square take away the area of the circle 100 - pi

6. nuccioreggie

7. DanJS

you get that part

8. DanJS

The probability of hitting the black circle is the ratio of the two areas... $\frac{ Area~circle }{ Area~white } = \frac{ \pi }{ 100-\pi } \approx 0.032$

9. DanJS

10. DanJS

0 is no chance, and 1 is garunteed 100% , so it is very much closer to zero than 1

11. nuccioreggie

So thats the answer for part A

12. DanJS

yea

13. DanJS

part b is less work, since you know the chance of hitting the circle is 0.032, then the chance of hitting the white area is 1 - (chance of circle) = 1 - 0.032 = much closer to 1 for the white region

14. DanJS

Because it is assumed he hits the board somewhere every throw , i guess, no missing

15. DanJS

so (chance circle) + (Chance white) = 1

16. nuccioreggie

Can you explain Part A again please

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