Question

Hole 5 at Putt Putt Palace is pictured below. Each black rectangle is a 17.5-inch by 7-inch wooden obstacle. If the ball lands anywhere inside the circle area, which has a diameter of 14 inches, it is guaranteed to go into the hole.

Answer 1

If it is equally likely for the ball to land on any spot, excluding the obstacles, and x = 84 inches and y = 42 inches, what is the probability that it will land in the circle area?

Answer 2

areas like before :)

did you understand the concepts here?

Answer 3

no

Answer 4

ok. so, this is how it works....

our region of possibilities is the complete rectangle. We take that as our universe.
We are asked to find the probability of something happening in a region of that universe.

probability of an event is the ratio of the measure of that event (which can be the number of times, or the area of region or volume of region, etc) to the complete universe

Answer 5

so, when we are talking about 1D events, our measurements can be the number of times an event occurs, lengths or distances, and other such 1D measurements

when in 2D, our measurements are in terms of areas

in 3D, our measurements are in terms of volumes.

Answer 6

i still dont understand..

Answer 7

universal definition of probability:
\[P(A)=\frac{\text{measurement of event A}}{\text{measurement of all possible events}}\]

Answer 8

what is event a?

Answer 9

lets start with understanding our universe and our event:
what is our universe in this problem?

Answer 10

universe is the set of actions, in this case, the landing of the object.

Answer 11

this landing can happen anywhere in the rectangle... right?
this is our universe

Answer 12

in this universe, we have a part of it called as an event

the event we are concerned with is => the action of landing in the circle.

Answer 13

there can be infinite such events, combination of events, etc .. but all are part of the universe

Answer 14

kapeesh?