A golf ball is selected at random from a golf bag. If the golf bag contains 5 red balls, 5 black balls, and 7 brown balls, find the probability of the following event
The golf ball is red or black

The probability that the golf ball is red or black is
(Type an integer or a decimal rounded to three decimal places as needed )

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Step 1 ：Define the number of red balls, black balls, and brown balls as 5, 5, and 7 respectively.

Step 2 ：Calculate the total number of balls by adding the number of red balls, black balls, and brown balls. The total number of balls is 17.

Step 3 ：Calculate the probability of the golf ball being red or black. This is done by dividing the sum of the number of red balls and black balls by the total number of balls. The probability is approximately 0.588.

Step 4 ：$\text{red balls}=5$

Step 5 ：$\text{black balls}=5$

Step 6 ：$\text{brown balls}=7$

Step 7 ：$\text{total balls}=\text{red balls}+\text{black balls}+\text{brown balls}=17$

Step 8 ：$\text{probability of red or black}=\frac{\text{red balls}+\text{black balls}}{\text{total balls}}=0.5882352941176471$

Step 9 ：Final Answer: The probability that the golf ball is red or black is approximately $\boxed{{\displaystyle 0.588}}$.