A lottery game has balls numbered 1 through 17. What is the probability of selecting an even numbered ball or a 5?
To find the probability of selecting an even numbered ball or a 5, we need to find the total number of favorable outcomes (even numbered balls and 5) and divide it by the total number of possible outcomes.
There are a total of 17 balls numbered 1 through 17.
Out of those, the even numbered balls are 2, 4, 6, 8, 10, 12, 14, 16 (a total of 8 balls).
So, the favorable outcomes are 8 (even numbered balls).
Additionally, there is 1 ball numbered 5.
Therefore, the total number of favorable outcomes is 8 + 1 = 9.
The total number of possible outcomes is 17.
Hence, the probability of selecting an even numbered ball or a 5 is 9/17 or approximately 0.529 (to 3 decimal places).