Question

In the game of Pick-A-Ball, there are 10 colored balls: 3 red, 4 white, and 3 blue. The bals 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 Secaus the bucket has been shaken thoroughly, you can assume that eadh individual ball is selected at random with equal likelhood of being chosen It is corsmon in games of chance to be rewarded for abtaining unlikely resulls. For example, in the game of poker, hands thet are less likely to occur tend to trum p hands that are more likely to occur. That same concept applies in this game Itco ts$10to play Pick-A-Ball,and yourprize isto reciproaloftne probability ofottaring your enact sequ ofrwh, expressed in dollars Por exomple-if ษ" probability of oltairing your exact sequence of rwults is 0 10, your pri蔬 1/0 10-章10 and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be lower than 0.10 when you reach into the bucket, your result is based on a simuletion. In a simulation, random events are modeled in such a way that the simulated outoomes closely match real-world outoomes In this simulation, your result is simulated based on the probabilities of obtaining a ball of a particular color Now, close your eyest Reach into the bucket, and pick a baill. (Oick the red Pick-A-Ballt icon to simulate reaching into the bucket and drawing your ball.) what is the probability of selecting the color of ball that you just selected? (Round your answer to four dedimal places) Don't put your first ball back into the bucket. Now, reach in (again, no peekingl), and pick your second ball. (Click the rad Pick-A-Bailli lcon to simulate reaching into the bucket and selecting your next ball. Pick-A-Ball what is the probability of selecting the cofor of ball that you just selected? (Round your answer to four dedimal places.) What is the probability of abtaining your exact sequence of results? (Round your answer to four dedimal places what is your prize? O $29.99 O $4.50 O s1499 O $3.33 what is your profit from playing pick-A-Bali? (Note: Proflt can take on a positive ar negative value, cornesponding to a gain or a loss, respectively) 0-$6.67 O $4.99 O $5.50

Answer 1

probability of selecting the color=3/10 =0.3

probability of selecting the color=2/9 =0.2222

probability of obtaining exact sequence=(3/10)*(2/9)=0.0667

prize =1/0.0667 =14.99

profit =14.99-10 =4.99