please show detailed steps 5. Using the same scenario as in the problem above, if we...
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4. In a box are 3 red balls and 5 blue balls. From this box are drawn 4 balls and placed in a second box. Then, one ball is drawn from the second box. What is the probability the ball drawn from the second box is red?
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excess Ex) 3. A box contains 15 red balls, 10 blue balls, and 5 white balls. We have taken 2 balls from the box. What are probabilities that we have taken c) one red ball and one blue ball a) 2 white balls b) at least one white ball d) no one blue ball
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...
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28. Polya's urn model supposes that an urn initially contains r red and b blue balls. At each stage a ball is randomly selected from the urn and is then returned along with m other balls of the same color. Let Xk be the number of red balls drawn in the first k selections. (a) Find ELXi] (b) Find ELX2] (c) Find ELX3] (d) Conjecture the value of E[X], and then...
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Urn A contains four white balls and five black balls. Urn B contains seven white balls and three black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was white given that the second ball drawn was white? (Round your answer to three decimal places.) Need Help?Read It Watch It
Did something strange occur? 4. In a box are 4 red balls and 7 blue balls. From this box are drawn 4 balls and placed in a second box. Then, one ball is drawn from the second box. What is the probability the ball drawn from the second box is red?
6. There are 5 red balls and 7 blue balls in an urn. Two balls are drawn consecutively without replacement. What is the probability that the first ball drawn is red given that the second ball drawn is also red?
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...
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Homework in probability theory Variant 1 A box contains 15 red balls, 10 blue balls, and 5 white balls. 1. 2 balls are taken from the box. Consider the following events: A) the first ball is red B) the first ball is blue C) the first ball is white Find the following probabilities a) p(A)-? D) the second ball is red E) the second ball is blue F) the second ball is white b)...