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What is the probability that ONE dart lands in:

1. The red area

2. The Yellow Area.

3. If 25 darts were thrown, about how many would land in the blue zone?

 

Thank you!

 Apr 17, 2021
 #1
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Total area  = 16^2 = 256

 

Red  area   = pi (2)^2  =  4pi

 

Yellow  area =  pi (4^2 - 2^2)  = 12  pi

 

Blue  Area =    256  - pi (4)^2  =  256  -  16pi

 

1. P(red  area)  =  4pi/256   =  pi/64  ≈  

 

2. P ( yellow area )  =  12 pi /  256  =  (3/64) pi

 

3.  If  25  darts were  thrown  we  expect  that   [ 256  - 16 pi  ]  / 256  ≈  .80  =  about 80%  would land in the  blue  area....so   25 *(.80)  ≈  20  would land in the  blue area   

 

cool cool cool

 Apr 17, 2021

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