Question

In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 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. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be ower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the robabiliies of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball.

Answer 1

Hello,

This question you posted is incomplete but I was able to get the complete question. I hope it would be of help to you!

1. What is the probability of selecting the color of ball that you just selected?___

Don't put your first ball back in the bucket now reach again, no peeking and pick your second ball.( Click the pick a ball icon to simulate reaching into the bucket and select your next ball)

2. What is the probability of selecting the color of ball that you just did_____

3.what is the probability of obtaining your exact sequence of result?____

4. What is your prize____

5. What is your profit from pick a ball___

Answer:

1. The probability of selecting the color of ball that you picked. (White)

The color is white. And total balls are 10

= 4/10

= 0.4

2. After first ball was picked out, you now have 3 whites left and total balls 9. probability of selecting the color of ball that you picked = 3/9

= 0.3333

3. Probability of getting exact sequence

= 0.3333x0.4

= 0.1333

4. The prize = 1/0.1333

= 7.5

5. The price would be 7.5 - 10

= -2.5

Thank you!