Four balls are selected at random without replacement from an urn containing three white balls and five blue balls
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.)
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...
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.)
1. From an urn, 10 balls with replacement are selected, the urn contains 14 white balls and 5 red balls. Calculate the probability that less than 3 red balls have come out. 2. From an urn, 10 balls are selected with replacement, the urn contains 14 white balls and 14 red balls. Calculate the probability that at least 3 red balls have come out. 3. From an urn 5 balls without replacement are selected, the urn contains 11 balls, of...
1. From an urn, 10 balls with replacement are selected, the urn contains 14 white balls and 5 red balls. Calculate the probability that less than 3 red balls have come out. 2. From an urn, 10 balls are selected with replacement, the urn contains 14 white balls and 14 red balls. Calculate the probability that at least 3 red balls have come out. 3. From an urn 5 balls without replacement are selected, the urn contains 11 balls, of...
a) Two balls are drawn without replacement from an urn containing 12 balls, of which 7 are white and 5 are black. Find the probability that: (i) Both balls will be white (ii) Both balls will be the same color (iii) At least one of the balls will be white b) Repeat part (a) but with the balls drawn with replacement
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...
3. There are 6 red and 4 blue balls inside an urn. Three balls are selected at random without replacement. Find the probability of the event that more red balls are selected.
7. An urn contains four black and eight white balls. A sample of five balls is selected from the urn repeatedly, each time with replacement of the selected balls (thus restoring the urn to its original state). Let E be the event that the selected sample contains at most two white balls. (a) Find the probability of E (b) What is the expected number of selections until E happens? Name the random variable used. (c) What is the probability that...
7. An urn contains four black and eight white balls. A sample of five balls is selected from the urn repeatedly, each time with replacement of the selected balls (thus restoring the urn to its original state). Let E be the event that the selected sample contains at most two white balls. (a) Find the probability of E (b) What is the expected number of selections until E happens? Name (c) What is the probability that E happens for the...