This Problem is based on conditional probability as well as baye's theorem:-
Q5) (20 Mark) We have 6 red balls and 6 blue balls. We store them in...
3. A box contains 10 red balls, 6 blue balls, and 4 white balls. We have taken 2 balls from the box. What are probabilities that we have taken c) one red ball and one white ball b) at least one blue bal a) 2 blue balls d) no one red ball
Urn 1 contains 3 red and 6 blue balls, and urn 2 contains 4 red and 3 blue balls. The urns are equally likely to be chosen. a) If a blue ball is drawn, what is the probability that it came from urn 1? b) If a red ball is drawn, what is the probability that it came from urn 2?
Please ignore the section discussing the 3 diagrams.
Tree Diagrams and Probability A box contains 4 red and 8 blue balls. Three balls are drawn from the box. Print the 3 different tree diagrams. 1. Complete the symbolic tree diagram by placing appropriate symbols on the branches and at the ends of the branches as indicated 2. Assuming the balls are drawn without replacement, complete the WO R diagram by placing appropriate probabilities on the branches and at the ends...
Suppose there is an urn containing 5 red, 4 white, and 11 blue balls. We drawn six balls from the urn (no replacement) (a) Find the number of ways (not the probability) of choosing a red ball, then a blue ball, then exactly 2 white balls, and finally exactly 2 blue balls. (b)Find the number of ways of choosing 2 red balls initially , then at least 3 blue balls, then a green ball. (c) Find the number of ways...
There are 4 red balls, 5 green balls, and 6 blue balls inside a box. a. If one balls is selected at random, what is the probability that the ball is green color? b. If one ball is selected at random, what is the probability that the ball is not red?
There are two boxes with red and blue balls in them. Box I has 1 red and 4 blue balls; Box II has 3 red and 2 blue balls. There is a fair coin with Box I written on one side and Box II written on the other. You toss the coin and then draw 2 balls without replacement out of the box that comes up on the face of the coin. a. Let Y be the number of red...
A box has blue and red balls. 0.50 of them are blue large, 0.20 are small. 0.10 are white large and 0.05 are small. What is the probability of getting one large blue ball?
. There are two boxes with red and blue balls in them. Box I has 1 red and 4 blue balls; Box II has 3 red and 2 blue balls. There is a fair coin with Box I written on one side and Box II written on the other. You toss the coin and then draw 2 balls without replacement out of the box that comes up on the face of the coin. a. Let Y be the number of...
1. Consider an urn with 4 blue balls, 6 red balls, and 3 yellow balls. Suppose we draw 4 balls at random. (a) How many elements are in the sample space? (b) What is the probaiblity that we draw 4 red balls? (c) What is the probability that we draw 2 red balls and 2 blue balls? (d) What is the probability that we draw either 3 blue and 1 yellow ball or 1 blue and 3 yellow balls? 2....
Suppose we have two urns (a left urn and a right urn). The left urn contains N black balls and the right urn contains N red balls. Every time step you take one ball (chosen randomly) from each urn, swap the balls, and place them back in the urns. Let Xm be the number of black balls in the left urn after m time steps. Find the Markov chain model and find the unique stationary distribution when N=5