Questions: Describe how to calculate rating Describe how you can use this game Probability of winning Odds Interpretation odds

Solution Steps

This is a combination problem since the order in which the ping pong balls are chosen does not matter.

The total number of ways to choose 5 ping pong balls out of 35 is given by the combination formula:

35C5 = 35! / (5! * (35-5)!) = 324,632

To win, you need to match exactly 3 out of the 5 chosen numbers. First, we calculate the number of ways to choose 3 correct numbers from the 5 winning numbers: 5C3 = 5! / (3! * 2!) = 10.

Then, we calculate the number of ways to choose the remaining 2 incorrect numbers from the 30 losing numbers: 30C2 = 30! / (2! * 28!) = 435.

To get the total number of ways to win, we multiply these two values together: 10 * 435 = 4350

Final Answer