10. Pick-A-Ball - Sampling without replacement

In the game of Pick-A-Ballwithout replacement, there are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.

Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)

Pick-A-Ball!

What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Don't put your first ball back into the bucket.Now, reach in (again, no peeking!), and pick your second ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and selecting your next ball.)

Pick-A-Ball!

What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

What is the probability of obtaining your exact sequence of results? (Round your answer to four decimal places.)