1. Each box below contains a number of red bells )and a number of white balls (w), as indicated: 6 T 2 w 3 r 2 r 5...
1. Each box below contains a number of red bells )and a number of white balls (w), as indicated: 6 T 2 w 3 r 2 r 5 w 4 w Box 1 Box 2 Box 3 A box is Cosen, with probability P(Box 1)-a, P(Box 2)-2, P(Box 3)-N; then a ball is chosen at random from that box. a. Find the probability that a red ball is choeen. b. Given that a red ball is chosen, find the probability...
5) Box 1 contains w white balls and b black balls. Box 2 contains w white balls and b black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black 6) Assume that we have n boxes and each one of them contains k white balls...
question: Box A contains 3 red & 2 white marbles, while Box B contains 1 red & 4 white marbles. A marble is chosen randomly from Box A & put into Box B. Then, a marble is chosen randomly from Box B (which contains 6 marbles). a): Determine the probability that a red marble is chosen from Box B. b): determine P(red chosen from A | red chosen from B)
2. A box contains 5 red balls, 7 white balls, and 8 black balls. Four balls are randomly chosen (without replace- ment). What is the probability that (a) 1 red ball, 2 white balls, and 1 black ball are chosen? (b) exactly two red balls are chosen? (c) the first chosen is black, the last three chosen are two white balls and one black ball?
Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that at most one ballis red. (C) 00.2 01 O 0.6 0.12 0.8 Question 10 2 pts A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that {at most one ball is red (C) given that at least one...
Box 1 contains a red balls and b white balls. Box 2 contains c red balls and d white balls. One ball is randomly drawn from Box 1 and put into Box 2, and then one ball is randomly drawn from Box 2 and put back in Box 1. Finally, one ball is drawn at random again from Box 2. Let X denote the number of red balls drawn from Box 2 the 2nd time. Write down the distribution of...
5) Box 1 contains w white balls and b black balls. Box 2 contais white balls and b2 black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black.
Please help for both. 26) Box A contains 3 red & 2 white marbles, while Box B contains 1 red & 4 white marbles. A marble is chosen randomly from Box A & put into Box B. Then, a marble is chosen randomly from Box B (which contains 6 marbles). Determine the probability that a red marble is chosen from Box B. 27) In (26), determine P(red chosen from A | red chosen from B)
We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box number 2 contains two black and one white ball. Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one ball from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white. We are going to find MAP estimate for the...
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1 red ball, 4 white balls. Pick an urn randomly. Randomly select a ball from that urn. Without replacing the 1st ball, select a ball from the urn whose color matches the first ball. Q. Make a tree diagram, complete with probabilities describing this situation. Q. Find the probability that the first ball is white. Q. Find the probability that the second ball is white....