Question

Sophia throws a dart at this square-shaped target:

A square is shown with sides labeled 9. A shaded circle is shown in the center of the square. The diameter of the circle is 3.

Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer. (5 points)

Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer. (5 points)

Answer 1

@k_lynn

Answer 2

@amistre64

Answer 3

@Mehek14

Answer 4

your going to have to find the area of the shapes to play with this

Answer 5

how?

Answer 6

if your doing probabilities then you should have covered basic shape areas a long time ago

Answer 7

consider that the circle is a square 3x3 .... so 9 out of 81 ... is that closer to 0 or 1?

Answer 8

1?

Answer 9

what is 9/81?

Answer 10

like as a percent?

Answer 11

like as a decimal since we want a value that is between 0 and 1

Answer 12

its 0.1111 etc.

Answer 13

good, then the probability of hitting the circle is even less than 0.1111 is this value closer to 1 or 0? recall that 0.5 is halfway between them

Answer 14

its 0

Answer 15

correct, and since the sum of the probabilities adds up to 1 ... .9999 is about the area of the white. is that closer to 0 or 1?

Answer 16

1

Answer 17

then thats the rough idea for solutions

Answer 18

idk what tht means

Answer 19

white is larger than 8/9 or .8888
black is smaller than 1/9 or .1111

Answer 20

so part a is : 8/9 or .8888
and part b is : 1/9 or .1111

Answer 21

part a deals with black, part b deals with white and it asks you to explain why you would choose the answer you do.

all ive done is given you a rough idea on how to approach it

Answer 22

so part a would be closer to 1?

Answer 23

part a asks for the black area, and we determined its less than 1/9 ...

Answer 24

so 0