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15. The probability of randomly selecting three balls with different colors, from a box containing five...
Four balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability that two or three of the balls are white.
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?
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...
An urn contains four red balls, six black balls, and five green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected? (Round your answer to three decimal places.)
A box contains 12 white and 8 black marbles. Two balls are drawn out randomly from the box without replacement. Let X denote the number of white balls drawn out. a. Construct the probability distribution of X. b. Find mean and variance of X using the following formula ? = E (X) = ∑ ? . ?(?) ? ?(?2) = ∑ ?2 . ?(?) ? ?2 = ???(?) = ?(?2) − (?)2
Q3. A box in a certain supply room contains 15 green balls and 8 red balls. Suppose that four balls are randomly selected without replacement. (a) What is the probability that exactly two of the selected balls are red? (b) What is the probability that at least one of the selected balls are green? (c) Suppose that there are now 15 green balls and 8 red balls and 4 yellow balls. What is the probability that exactly one of the...
An urn contains three blue, four white, and five red balls. You take three balls out of the urn without replacement. What is the probability that all three balls are of the same color? The probability is (Type an integer or a simplified fraction.)
A box contains seven red balls and five black balls. Three balls are selected at random from the box. Compute the probability that (d) at least one ball is red.
BONUS PROBLEM. (5 points) Consider the following experiment: two balls are pulled without replacement, one after another, from the box containing four white, six black, and two red balls. What is the probability that the 1st ball is white given that the 2nd ball is black? (Round your answer to 2 places after the decimal point). (Your solutions have to include computational fin Answer:
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