4. A bag contains 1 red, 3 green, and 5 yellow balls. A sample of four balls is picked. Let G be the number of green balls in the sample. Let Y be the number of yellow balls in the sample. Find the conditional probability mass function of G given Y 2 assuming the sample is picked with replacement
4. A bag contains 1 red, 3 green, and 5 yellow balls. A sample of four balls is picked. Let G be the number of green balls in the sample. Let Y be the number of yellow balls in the sample. Find the conditional probability mass function of G given Y = 2 assuming the sample is picked with replacement.
An urn contains 10 red balls. 7 green balls and 4 yellow balls. At random, 5 balls are drawn (without replacement). What is the probability 3 of them are red?
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 four red balls, two green balls, and three yellow balls. Three balls will be drawn from the urn, one at a time, at random. If the balls are drawn without replacement, what is the probability that the first is red, the second is green, and the third is yellow? If the balls are drawn with replacement, what is the probability the first is red, the second is green, and the third is yellow?
10. There are 10 balls in an urn: 4 red, 3 green, 3 yellow. One randomly takes 3 balls. What is the probability that (a) all of them are of different colors? b) all of them are of the same color? (c) two of them are red? (d) two of them are red and one of them is green?
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?
Use the following information for the following questions An urn contains 5 red balls, 4 green balls and 4 yellow balls, for a total of 13 balls. A random selection of balls will be made. 1. If 4 balls are randomly selected with replacement, what is the probability of obtaining 2 yellow balls and 2 red balls? Demonstrate how to obtain the answer. a)0.08 b)0.10 c)0.12 d)0.14 e)0.1754785 2. If 5 balls are randomly selected without replacement, what is the...
There are 3 green marbles and 5 blue marbles in a bag and 4 red marbles. Two marbles are drawn from the bag at random without replacement. Find the probability that both marbles are blue. Find the probability that the first is blue and the second green.
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?