a) Sampling is being done without replacement. Hence,
P(Both red) = (3/6)*(2/5) = 1/5
(a) There is an urn containing six balls, three of which are red. You make two...
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.)
An urn contains four red balls, two green balls, and three yellow balls. Three balls will be drawn from the urn, one at a time, at random. If the balls are drawn without replacement, what is the probability that the first is red, the second is green, and the third is yellow? If the balls are drawn with replacement, what is the probability the first is red, the second is green, and the third is yellow?
Urn one contains two red, one black balls, urn two contains one red, three black balls, and urn three contains one red, one black balls. A student chooses urn one or urn two at random, and selects one ball from the chosen urn at random and transfers it into urn three. Then he draws a ball from urn three. Given that the ball he draws is red, what is the probability that the transferred ball is red?
Consider an urn containing 6 red balls and 3 blue balls from which 3 balls are selected without replacement. What is the probability of selecting a red ball, if you select exactly one blue ball?
Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.) b) An urn contains eight red balls, eight white balls, and eight blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that the...
53.An urn contains six red balls and five blue balls. Four balls are drawn at random, without replacement. (a) What is the probability that all four balls are red? (Round your answer to four decimal places.) (b) What is the probability that two of the balls are red and two are blue? (Round your answer to four decimal places.)
2. An urn contains two green balls and three red balls. Suppose two balls will be drawn at random one after another and without replacement (i.e., the first ball is not returned to the urn before the second one is drawn). (a) Find the probabilities of the events A-I A green ball appears in the irst draw (Note, in event B, the first draw is supposed unknown, for example, after the first draw,you do not look at what color the...
Suppose that you have an urn with 500 balls, 100 of which are red and 400 are black. (a) You sample 10 balls at random with replacement. What is the probability that at least 2 of them are red? (b) You sample 10 balls at random without replacement. What is the probability that none of them are red? (expression only)
An urn contains six balls, three marked WIN and three marked LOSE. You and another player take turns selecting a ball from the urn, one at a time. The first person to select the third(last) WIN bal is the winner. If you draw fist. 2. (a) Assuming that the sampling is done without replacement i. Let X be the number of draws needed to determine the winer. Find the p.m.f. of X ii. Find the probability that you will win...