a.
To calculate:
The probability of the center
a.
Answer to Problem 8Q
The probability of the center circle is
Explanation of Solution
Given information:
Calculation:
The areas as per the question can be obtained as follows:
Calculate area of circle by using
Area of outer circle
Area of center circle
Calculate area of square by using
Area of square
Thus, the required probability measures are as follows:
The probability of a dart falling in the center circle is given,
Hence the probability of the center circle is
b.
To calculate:
The probability of outside square.
b.
Answer to Problem 8Q
The probability of outside squareis
Explanation of Solution
Given information:
Calculation:
The areas as per the question can be obtained as follows:
Calculate area of circle by using
Area of outer circle
Area of center circle
Calculate area of square by using
Area of square
Thus, the required probability measures are as follows:
The probability of a dart falling in the square is given,
Hence the probability of outside square is
c.
To calculate:
The probability of inside the square but outside thecenter circle.
c.
Answer to Problem 8Q
the probability of inside the square but outside the center circle is
Explanation of Solution
Given information:
Calculation:
The areas as per the question can be obtained as follows:
Calculate area of circle by using
Area of outer circle
Area of center circle
Calculate area of square by using
Area of square
Thus, the required probability measures are as follows:
The probability of inside the square but outside the center circle is given as,
Hence,the probability of inside the square but outside the center circle is
Chapter 10 Solutions
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