11. Pick-A-Ball In the game of Pick-A-Bal, there are 10 colored ball: 2 red, 4 w

Question

11. Pick-A-Ball In the game of Pick-A-Bal, there are 10 colored ball: 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 ikelihood of being chosen. It is common in games of chance to be rewarded for obtaining unikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to ccur. 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 - $10, and you break even. Therefore, to make a positive proft from playing Pick-A-Ball, the probabity of obtaining your results must lower than 0.10. When you reach into the bucket, your result is based on a that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the probabilities of obtaining a ball of a particular color. simulation. In a simulation, random events are modeled in such a way Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Balli) lon to simulate reaching in and drawing your ball.)

Explanation / Answer

probability of selecting the color of ball that you just selected =2/10 =0.2 (as there are 2 red out of 10)

probability of selecting second color =4/9=0.4444

probability of selecting exact sequence -0.2*0.4444 =0.0889

prize =1/0.0889 =11.25

profit =11.25-10 =1.25

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.