Bag A contains two balls, one red and one white and Bag B contains two white balls. A bag is selected at random, and one ball is taken at random from that bag. If the selected ball is white, what is the probability that the other ball in the bag is red? Give your answer as a fraction in its simplest form.
Bag A contains two balls, one red and one white and Bag B contains two white...
Two bags contain a number of balls. Bag A contains 4 white and 3 black balls and bag B contains 3 whit and 5 black balls. A ball is chosen at random from bag A and placed into bag B i). Given that the first ball was black, what is the probability that a second ball drawn from bag A will be white? (1 mark) Given no knowledge of the color of the first ball, what is the probability that...
Michael has a box of colored balls. It contains two red balls, two green balls, two yellow balls, and five blue balls. Michael draws a ball at random from the box Let R denote the event that the ball he draws is red, and let B denote the event that the ball he draws is blue. What is Pr(R|B)? What is Pr(R|B′)? Enter your answers as whole numbers or fractions in lowest terms. A bag contains four 1-dollar bills, three...
Consider 3 urns. The urn A contains 5 white balls and 10 red balls, the urn B contains 9 white balls and 6 red balls and the urn C contains 4 white balls and 9 red balls. A ball is selected from ballot box 1 and placed in ballot box 2, then one ball is taken from ballot box 2 and placed in ballot box 3. Finally, a ball is taken from ballot box 3. What is the probability that...
If a bag contains: 5 White Balls, 6 Red Balls, and 9 Black Balls, what is the probability of pulling out: a. A black or white ball b. A white ball c. A white ball and then a black ball without replacement? d. A white ball and then a black ball with replacement?
An urn contains 4 white balls and 6 red balls. A second urn contains 6 white balls and 4 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) (a) the probability that the urn selected...
asic Statistics Bag 1 contains 5 red balls and 3 black balls. Bag 2 contains a red balls and 1 black ball. Bag 3 contains 4 red balls and 2 black balls. If a bag is selected at random and a ball is drawn, find the probability it will be red (5 marks)
A bag contains 6 blue balls, 2 red balls and 1 black ball. If two are selected at random, find the probability of obtaining the black ball.
A bag contains 4 white, 5 red and 6 blue balls. Three balls are randomly drawn, without replacement, from the bag. What is the probability that the first two balls are red and the last one is blue?
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...
Q10. A bag contains 4 white, 5 red and 6 blue balls. Consecutively 2 balls are drawn at random from the bag. The probability that all of them are red, is what? Calculate the provability for both with replacement and non-replacement.