Concept explainers
a.
Find the probability that the coin covers a vertex of one of the squares on the grid.
a.
Answer to Problem 64E
Explanation of Solution
Calculation:
There is a grid of squares on which coin is dropped. The coin is of diameter
Let us try to find the probability that the coin covers a vertex of one of the squares on the grid
Let
The coin is going to cover a vertex if
In each square, the points that are less than
Adding to an Area of
Total area of each square is
We see that
It follows that
Hence, that is the coin has probability
b.
Perform the experiment
b.
Answer to Problem 64E
Explanation of Solution
Calculation:
Let us perform the experiment many times
We know that probability that the coin covers a vertex of one of the squares is
If we drop the coin on the paper
Hence, we observe that the coin covers vertex
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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