SOLUTION: 2. A dart hits a dartboard that is in the shape of a square with sides of 4 m. There are four congruent circles inside the square that are all touching. The shaded region is everyt

Algebra ->  Probability-and-statistics -> SOLUTION: 2. A dart hits a dartboard that is in the shape of a square with sides of 4 m. There are four congruent circles inside the square that are all touching. The shaded region is everyt      Log On


   

Question 320363: 2. A dart hits a dartboard that is in the shape of a square with sides of 4 m. There are four congruent circles inside the square that are all touching. The shaded region is everything but the 4 circles. What is the probability that the dart will land in the shaded region?
a. 21%
b. 25%
c. 50%
d. 79%
Found 2 solutions by stanbon, nyc_function:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Answered this afternoon.
Cheers,
Stan H.

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
4π/16
area of square= 4m x 4m = 16m2
area of all 4 circles = 4(πr^2)
=4((π(1^2))
=4(π x 1)
=4π
probability of dart going in circles = area of circles/area of square
= 4π/16.
Now, 4π/16 = 4(3.14)/16 = 0.785, which can be rounded to two decimal places to become 79%.
Choice d.

NOTE: MY REPLY:
Well, 79% represents the probability of the dart going into the shaded region. Understand?