The local lottery is found by randomly selecting 6 ping pong

The local lottery is found by randomly selecting 6 ping pong balls from a container in order without replacement. There are 30 ping-pong balls in the container numbered 0 through 29.

1.) What is the probability you hold the winning ticket?

2.) How many tickets should you buy to give yourself a 1% chance of winning the lottery? A 10% chance? A 25% chance? A 50% chance?

3.) What is the probability all 6 numbers are even? At least one number is odd?

4.) What is the probability each number will be a single digit?

5.) What is the probability your birthday will be the winning ticket? (mm,dd,yy)

6.) Complete parts 1-5 again under the assumption the order of the digits is irrelevant. How are your chances of winning affected? Better? Worse? Explain

7.) How many ping-pong balls are needed in the container to produce an (approximately) equal chance of winning if the order of the ping pong balls is irrelevant?

Solution