There are 15 red balls and 10 blue balls. 1) How many ways are there to...
3 red balls, 4 white balls, and 5 blue balls are mixed up in an urn. 3 are drawn at random. (a) How many ways can one of each color be drawn? (b) How many ways can three of the same color be drawn?
3. An urn contains five white balls numbered from 1 to 5, five red balls numbered from 1 to 5 and five blue balls numbered from 1 to 5. For each of the following questions, please give your answer first in the form that reflects your counting process, and then simplify that to a number. You must include the recipes. No other explanation needed. (a) In how many ways can we choose 4 balls from the urn? (b) in how...
12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6 red boxes labelled 1 to 6 and 6 blue boxes labelled 1 to 6, such that the blue be with label i and the red box with labeli receive the same number of balls, for every ie (1,2,3,4,5, 6}? [10 marks 12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6 red boxes labelled 1 to 6 and...
An urn contains 8 red balls, 3 green balls, and 1 white ball. Three are drawn simultaneously. Answer the following questions: 1. How many ways can 1 ball of each color be drawn? 2. How many ways can at least 1 green ball be drawn? 3. How many ways can the same color ball be drawn?
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways are there to select 20 balls? 2. A b ox 3. Find a1e for each of the following generating functions: 1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways...
In how many ways can 15 red marbles and 17 blue marbles be distributed to 6 children if each child is to receive at least one blue marble and at least 2 red marbles? In how many ways can 32 different books be placed on four shelves so that there is at least one book on each shelf?
(1 point) A bowl contains 6 red balls and 6 blue balls. A woman selects balls at random without looking at them (a) How many balls must she select (minimum) to be sure of having at least three blue balls? (b) How many balls must she select (minimum) to be sure of having at least three balls of the same color?
Exercise 3 (SOA type). Urn I contains 10 balls: 4 red and 6 blue. Urn II contains 16 red balls and an unknown number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.44. What is the number of blue balls in urn II?
Suppose that two balls are drawn in succession from a bag containing 5 red balls, 4 green balls, and 3 blue balls with the assumption that the first ball is replaced befire a second one is drawn. How many ways will be drawing both red or both blue ?
Urn One has 11 red balls and 8 blue balls. Urn Two has 10 red balls and 5 blue balls. An urn is selected at random and then a ball is selected from the selected urn at random. What is the probability that the ball selected is blue? State your answer to three places of decimal. Your Answer: