anonymous
  • anonymous
What is the probability that a point chosen at random on the grid will lie in the unshaded region?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
@ganeshie8
mathstudent55
  • mathstudent55
How many squares are shaded? How many squares are there in total?

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anonymous
  • anonymous
Since it's an 8x8 square, we know there are \(8\times 8=64\) total squares. How many squares are shaded?
anonymous
  • anonymous
8x8 so 64 squares
anonymous
  • anonymous
24 shaded squares
mathstudent55
  • mathstudent55
How many unshaded squares?
anonymous
  • anonymous
40 because I took the unshaded squares and subtracted them from the total squares.
anonymous
  • anonymous
64-24=40
mathstudent55
  • mathstudent55
Good. The probability is the same as the ratio of unshaded squares to total squares.
anonymous
  • anonymous
would I turn them into a fraction and simplify? Or no?
mathstudent55
  • mathstudent55
Yes
anonymous
  • anonymous
24/40=7/10?
anonymous
  • anonymous
But that's not one of the answers.. :/
mathstudent55
  • mathstudent55
No. You need number unshaded squares/total number of squares
anonymous
  • anonymous
A. 5/8 B. 2/5 C. 3/8 D. 3/5
anonymous
  • anonymous
Ohh.
anonymous
  • anonymous
There are 24 unshaded squares, 64 total. Our probability is thus their ratio:$$24/64=12/32=6/16=3/8$$
anonymous
  • anonymous
Oh, okay. I put together the wrong ones lol..
mathstudent55
  • mathstudent55
@oldrin.bataku Check the pic and the discussion above. There are 40 unshaded squares, not 24.
anonymous
  • anonymous
Oops I meant shaded. I'm tired! $$1-3/8=5/8$$
mathstudent55
  • mathstudent55
40/64 = 5/8
anonymous
  • anonymous
Thanks Guys!
mathstudent55
  • mathstudent55
wlcm

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