Question

In the game of Pick-A-Ball without 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 "Pick-A-Ball!" 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? (Enter your answer in decimal format and round it to two decimal places.) Don’t put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click "Pick-A-Ball!" 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? (Enter your answer in decimal format and round it to two decimal places.)

Answer 1

Answer:A)0.27

B)0.78

Step-by-step explanation:

This is the probability of picking 2balls of same color.

P(RR)+Pr(WW)+Pr(BB)

3/10×2/9+4/10× 3/10+3/10 ×2/9=6/90+12/90+6/90=

24/90=4/15=0.27

B)if the first ball is not returned, then there are 9 balls left.

Then probability of same color will be

PrB+PrW+PrR

2/9+3/9+2/9=

7/9=0.78