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3. Suppose that there are three balls in a box. Each ball is either red or...
A ball is drawn at random from a box containing 8 red balls, 2 white balls and 9 blue balls Determine the probability that the ball drawn is Red White Blue Not red Red or white
The number of balls in a box, N, is a Poisson variable with rate A. Each ball in the box can be white with probability p or red, with probability q = 1-p. Let X be the number of white balls in a box and Y the number of red balls in the same box, so that X+Y = N. The joint probability P(X i, Y = j), i, j 0? (b (A) The number of balls in a box,...
A ball is drawn randomly from a jar that contains 3 red balls, 6 white balls, and 9 yellow balls. Find the probability of the given event, and show your answers rounded to 4 decimal places when possible. a. A red ball is drawn. P(red) = _____ b. A white ball is drawn. P(white) = _____ c. A yellow ball or red ball is drawn. P(yellow or red) = ____
3. (9 points) A box contains three blue balls and two red balls. Two balls are randomly drawn from the box one after another without replacement. Determine the probability that (a) two drawn balls are both red. (b) one ball is red and one ball is blue. (c) at least one of two drawn balls is blue.
Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and its color is noted. After the ball is drawn, it is set aside and is replaced with a blue ball. Another ball is then drawn from the urn. Find the probability the first ball drawn was red given that the second ball drawn was blue.
A ball is drawn randomly from a jar that contains 4 red balls, 3 white balls, and 2 yellow ball. Find the probability of the given event. (a) A red ball is drawn; The probability is : (b) A white ball is drawn; The probability is : (c) A red or white ball is drawn; The probability is :
Suppose that an urn contains 10 red balls and 4 white balls. Supposed 3 balls are drawn one by one from the urn. What is the probability of getting one red ball and two white balls? Show all work! a) Assume the balls are drawn with replacement. b) Assume the balls are drawn without replacement.
Two balls are drawn in succession out of a box containing 2 red and 3 white balls. Find the probability that at least 1 ball was red, given that the first ball was (A Replaced before the second draw. (By Hot replaced before the second draw. (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. (Simplify your answer. Type an integer or a fraction) (B) Find the...
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...
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing three white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being...