Question

In: Statistics and Probability

Suppose an urn contains 3 black chips, 2 red chips, and two green chips. We draw...

Suppose an urn contains 3 black chips, 2 red chips, and two green chips. We draw three chips at random without replacement. Let A be the event that all three chips are of different color.

(a) What is the probability space Ω you are working with?

(b) Compute P(A) by imagining that the chips are drawn one by one as an ordered sample.

(c) Compute P(A) by imagining that the three chips are drawn all at once as an unordered sample.

Solutions

Expert Solution

Answer:

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU


Related Solutions

Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and 6 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and 6 red balls. One ball is drawn from Urn A and transferred to Urn B. Then one ball is drawn from Urn B and transferred to Urn A. Let X = the number of green balls in Urn A after this process. List the possible values for X and then find the entire probability distribution for X.
1 An urn contains three green chips and four blue chips. Two chips are removed is...
1 An urn contains three green chips and four blue chips. Two chips are removed is succession. What is the probability both are blue if: a.) The chips are sampled with replacement?   b.) The chips are sampled without replacement? 2 An urn contains 5 orange and 4 red balls. Three balls are removed. Lex R be the random variable (R.V.) denoting the number of red balls in the sample of three balls. What is the probability two of the balls...
Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7 green balls...
Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7 green balls and 5 red balls. A die is rolled, if a 1 or 2 is rolled, a ball is chosen from urn 1, if a 3, 4, 5, or 6 is rolled, a balls is chosen from urn 2. What is the probability of selecting a green ball? Please show all work.
An urn contains 1 black marble, 1 white marble, and 1 red marble. Suppose you draw...
An urn contains 1 black marble, 1 white marble, and 1 red marble. Suppose you draw a marble from the urn 8 times with replacement. a) Describe the sample space. How would you denote outcomes? How do you assign probabilities to each outcome? b) What is the probability of drawing exactly 2 black and 3 white marbles after the 8 draws? c) How many different configurations of numbers of black, white, and red marbles are possible for the 8 draws?
Suppose that a bag contains 3 red chips and 7 white chips. Suppose that chips are...
Suppose that a bag contains 3 red chips and 7 white chips. Suppose that chips are drawn from the bag with replacement, i.e. the chips are returned to the bag and shuffled before the next chip is selected. Identify the correct statement. a. If ten chips are selected then seven will definitely be white. b. If seven consecutive white chips are selected then the next chip will definitely be red. c. If many chips are selected then, in the long...
Please Explain! An urn contains seven chips labeled 1,2,...,7. Three of the chips are black, two...
Please Explain! An urn contains seven chips labeled 1,2,...,7. Three of the chips are black, two are red, and two are green. The chips are drawn randomly one at a time without replacement until the urn is empty. Answer both questions for i = 1,...,7. a. What is the probability that ith draw is chip 5? b. What is the probability that ith draw is black?
A bag contains 3 white chips and 3 red chips. you repeatedly draw a chip at...
A bag contains 3 white chips and 3 red chips. you repeatedly draw a chip at random from the bag. if it's white, you set it aside; if it's red, you put it back in the bag. after removing all 3 white chips, you stop. what is the expected number of times you will draw from the bag?
Suppose we have a sack with 2 red balls and 2 black balls, and we draw...
Suppose we have a sack with 2 red balls and 2 black balls, and we draw balls without replacement until the second red ball is drawn. Describe the random variable ? = "the number of balls drawn". Describe by giving the range, probability distribution, expected value, standard deviation, and variance.
An urn contains red and green colored balls. You draw a sample of five balls from...
An urn contains red and green colored balls. You draw a sample of five balls from the urn. (a) Suppose the urn contains 18 balls, half of which are red. What is the probability that the sample contains a red ball? (b) Suppose the urn contains 144 balls, half of which are red. What is the probability that the sample contains a red ball? (c) Suppose the urn contains 144 balls, 10 of which are red. What is the probability...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT