Question
Repeat Problem 79 so that each of the 3 players selects from his own urn. That is, suppose that there are 3 different urns of 12 balls with 4 white in each.
Step 1
Since each urn has 12 balls with 4 white balls, the probability of drawing a white ball from each urn is 4/12, which simplifies to 1/3. Show more…
Show all steps
Your feedback will help us improve your experience
Prashant Bana and 77 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Repeat Problem 3.87 when each of the 3 players selects from their own urn. That is, suppose that there are 3 different urns of 12 balls with 4 white balls in each urn. An urn contains 12 balls, of which 4 are white. Three players—A, B, and successively C draw from the urn, A first, then B, then C, then A, and so on. The winner is the first one to draw a white ball. Find the probability of winning for each player if a. Each ball is replaced after it is drawn; b. The balls that are withdrawn are not replaced. Problem 3.87 An urn contains 12 balls, of which 4 are white. Three players A, B, and C successively draw from the urn, A first, then B, then C, then A, and so on. The winner is the first one to draw a white ball. Find the probability of winning for each player if a. Each ball is replaced after it is drawn; b. The balls that are withdrawn are not replaced;
There are two urns. The first one has 15 red balls and 5 black balls. The second one contains 14 red balls and 6 black balls. We choose randomly one of the urns, each of them equally likely to be chosen, and then we pick three balls from that urn (without replacement). It turns out that we have 3 red balls. Given that, what is the probability that we picked them from the second urn? Possible Answers A 1/2 B 4/9 C (29 choose 3) / (40 choose 3) D 14/29 E 28/29
Consider an urn containing 12 balls, of which 8 are white. A sample of size 4 is to be drawn with replacement (without replacement). What is the conditional probability (in each case) that the first and third balls drawn will be white given that the sample drawn contains exactly 3 white balls?
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD