Question

What is the probability that a point chosen at random on the grid will lie in the unshaded region?

Answer 1

@ganeshie8

Answer 2

How many squares are shaded? How many squares are there in total?

Answer 3

Since it's an 8x8 square, we know there are \(8\times 8=64\) total squares. How many squares are shaded?

Answer 4

8x8 so 64 squares

Answer 5

24 shaded squares

Answer 6

How many unshaded squares?

Answer 7

40 because I took the unshaded squares and subtracted them from the total squares.

Answer 8

64-24=40

Answer 9

Good. The probability is the same as the ratio of unshaded squares to total squares.

Answer 10

would I turn them into a fraction and simplify? Or no?

Answer 11

Yes

Answer 12

24/40=7/10?

Answer 13

But that's not one of the answers.. :/

Answer 14

No. You need
number unshaded squares/total number of squares

Answer 15

A. 5/8
B. 2/5
C. 3/8
D. 3/5

Answer 16

Ohh.

Answer 17

There are 24 unshaded squares, 64 total. Our probability is thus their ratio:$$24/64=12/32=6/16=3/8$$

Answer 18

Oh, okay. I put together the wrong ones lol..

Answer 19

@oldrin.bataku
Check the pic and the discussion above. There are 40 unshaded squares, not 24.

Answer 20

Oops I meant shaded. I'm tired! $$1-3/8=5/8$$

Answer 21

40/64 = 5/8

Answer 22

Thanks Guys!

Answer 23

wlcm