Question

5.12 A deck is made up of slats that are 6 inches wide with negligible distance between the slas A frisbee with a 8 inch diameter lands at a random position on the deck. Find the probability that the frisbee covers a portion of three slats

Answer 1

We know that slat is in the shape of square.

So, the probability would be calculated as followed:

Therefore, Area of frisbee= (∏r²) , where ∏=3.14

Area of frisbee Area of 3 slats Pr. Frisbee covers portion of 3 slats- rbl

Area= 3.14x(4)²= 50.24 ...... ("r" refers to radius and radius is always half of diameter)

And, Area of slat= 3a² ...... (where a=sides)

Area= 3x(6)²= 3x36 = 108

Put the values in formula to find the probability, we get

50.24 108 Pr.[Frisbee covers portion of 3 slats] Pr.[Frisbee covers portion of 3 slats]-0.4652