Say I have 10 ping pong balls, these balls are labeled 1 through 10. I pick 4 with replacement. What are the chances that the 4 balls I picked are the numbers 3, 5, 7, and 9?
I have calculated the possibilities of choosing 4 from these 10, I believe there are 10,000 possibilities. I did this by 10^4. I also know that each number has 1/10 chance of getting chosen with replacement.
But I am not sure where to go from here.
Any help would be greatly appreciated!
How many ways are there to pick 4 balls with replacement? It may be useful to consider combinations and permutations here.
Now, how many ways are there to pick 4 balls numbered 3, 5, 7, 9?
Once you have these, apply the definition of probability to get your desired result.