P( blue) = 1/2
P(yellow) = 1/2
p( both yellow | 1 ball is yellow) = P(both yellow) / P(one is
yellow)
= 1/2 *1/2 / 1/2*1/2+ 1/2*1/2 =1/4 / 1/2 = 2/4 = 1/2 =0.5
7. A ball is equally likely to be painted yellow or blue. Two such balls are...
Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10 yellow balls and 7 red balls. Urn C contains 12 yellow balls and 4 red balls. An urn is picked randomly (assume that each urn is equally likely to be chosen), and then a ball is picked from the selected urn. What is the probability that the chosen ball came from urn B, given that it was a yellow ball?
19. Two symmetric dice have both had two of their sides painted red, two painted black, one painted yellow, and the other painted white. When this pair of dice is rolled, what is the probability that both dice land with the same color face up? 27. An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball....
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 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
13 yellow balls and 14 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the probability that the first ball drawn is a red ball if the second ball drawn is yellow? a) 1.0000 b) 0.5556 c) 0.5385 d) 0.4815 e) 0.1378 f) None of the above.
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?
4. An urn contains 5 blue balls, 3 green balls, and 7 white balls. (a) A ball is selected from the urn. What are the odds the ball is green? (2 Two balls are selected without replacement. What are the odds the balls are blue and green? (c) Two balls are selected without replacement. What are the odds at least one is blue or at least one is green? (d) Two balls are selected without replacement. What are the odds...
An urn contains five blue balls and six yellow balls. If six balls are selected randomly without being replaced, what is the probability that of the balls selected, two of them will be blue and four of them will be yellow? The probability that of the balls selected, two of them will be blue and four of them will be yellow is (Round to four decimal places as needed.)
Urn 1 contains 3 red and 6 blue balls, and urn 2 contains 4 red and 3 blue balls. The urns are equally likely to be chosen. a) If a blue ball is drawn, what is the probability that it came from urn 1? b) If a red ball is drawn, what is the probability that it came from urn 2?
Urn A contains two red balls and eight blue balls. Urn B contains two red balls and ten green balls. Six balls are drawn from urn A and four are drawn from urn B; in each case, each ball is replaced before the next one is drawn. What is the most likely number of blue balls to be drawn? What is the most likely number of green balls to be drawn?