1. An urn contains 4 red balls, 3 black balls and 2 green balls. We draw...
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 5 red balls, 4 green balls, and 2 yellow balls. Draw 3 balls with replacement (draw a ball, record the color, and put ball back before drwing again). What is the probability that your draw (a) consists of all red balls? (b) consists of all the same color? (c) consists of all different colors? (d) consists of at least one green ball? (e) consists of exactly two green balls and one red ball?
An urn contains 3 red balls and 7 yellow balls. Suppose we select two balls from the urn without replacement. A. Referring to no replacement, find the probability that one ball is red and one ball is yellow B. Referring to no replacement, find the probability that the first ball is yellow or the second ball is yellow
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...
There are 7 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is the probability that exactly 1 black ball is drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
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?
An urn contains 5 blue balls, 3 yellow balls and 2 red balls. Three balls are drawn without replacement. (i) What is the probability that all three balls are blue? (ii) What is the probability that two balls are blue and one ball is yellow? (iii) What is the probability that at least one of the balls is blue?
An urn contains 3 yellow balls and 9 red balls. We select 4 balls from the urn with replacement. Find the probability that at least one yellow ball is obtained.
4. Urn A contains 3 red and 3 black balls, whereas urn B contains 4 red and 6 black balls. If a ball is randomly selected from each urn, what is the probability that the balls will be the same color?
An urn contains 7 white balls and 3 black balls. Two balls are selected at random without replacement. What is the probability :1 The first ball is black and the second ball is white.? 2: One ball is white and the other is black? 3:the two balls are white ?