Question

A Halloween bag contains three red, four green, and five blue candies. Tom reaches in the...

A Halloween bag contains three red, four green, and five blue candies. Tom reaches in the bag and takes out three candies. Let R, G, and B denote the number of red, green, and blue candies, respectively, that Tom got.
(a) Is the distribution of (R, G, B) multinomial? Explain.

(b) What is the probability that Tom gets one of each color?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(a) Yes, the distribution is multinomial distribution. Multinomial distribution is a generalized binomial distribution. In binomial distribution, there will be only two possible independent outcomes, where are in multinomial distribution, there will be many possible indendent outcomes. In this experiment, the three possibilites are R,G,B which are independent of each other.

(b) Probability that Tom gets one of each color = (3C1*4C1*5C1)/(12C3) = 60/220 = 0.2727

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Bag 1 contains six red balls, seven blue balls, and three green balls. Bag 2 contains...
Bag 1 contains six red balls, seven blue balls, and three green balls. Bag 2 contains eight red balls, eight blue balls, and two green balls. Bag 3 contains two red balls, nine blue balls, and eight green balls. Bag 4 contains four red balls, seven blue balls, and no green balls. Bag 1 is chosen with a probability of 0.15, bag 2 with a probability of 0.20, bag 3 with a probability of 0.35, and bag 4 with a...
(2 marks) A candy dish contains 6 blue candies and 5 red candies. A child reaches...
A candy dish contains 6 blue candies and 5 red candies. A child reaches up and picks 3 candies without looking. a) What is the probability that the child gets 3 blue candies? b) What is the probability the child gets at least one candy of each colour?
1. A bag contains one green marble, two yellow marbles, four blue marbles, and five red...
1. A bag contains one green marble, two yellow marbles, four blue marbles, and five red marbles. a. What is the theoretical probability of randomly drawing a blue marble from the bag? b. If you triple the number of green, yellow, blue, and red marbles in the bag, what will be the theoretical probability of drawing a blue marble? C. Compare your answers for part (a) and (b). Are they the same or different? Explain. d. How many blue marbles...
An urn contains five blue, six green and seven red balls. You choose five balls at...
An urn contains five blue, six green and seven red balls. You choose five balls at random from the urn, without replacement (so you do not put a ball back in the urn after you pick it), what is the probability that you chose at least one ball of each color?(Hint: Consider the events: B, G, and R, denoting respectively that there are no blue, no green and no red balls chosen.)
Use the counting techniques from the last chapter. A bag contains three red marbles, four green...
Use the counting techniques from the last chapter. A bag contains three red marbles, four green ones, one fluorescent pink one, two yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.
Use the counting techniques from the last chapter. A bag contains three red marbles, three green...
Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.
1.A bag contains 5​blue, 4​ red, and 3green marbles. Four marbles are drawn at random from...
1.A bag contains 5​blue, 4​ red, and 3green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include exactly two red​ marbles? 2.A bag contains 5 ​blue, 3 ​red, and 4 green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include at least one marble of each​ color
1) A bag contains two red marbles, two green ones, one lavender one, three yellows, and...
1) A bag contains two red marbles, two green ones, one lavender one, three yellows, and three orange marbles. HINT [See Example 7.] How many possible sets of four marbles are there? 2) A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones? 3) A bag contains three red marbles, three green ones, one lavender one,...
Use the counting techniques from the last chapter. A bag contains three red marbles, four green...
Use the counting techniques from the last chapter. A bag contains three red marbles, four green ones, one fluorescent pink one, three yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets all the red ones, given that she gets the fluorescent pink one.
A sock drawer contains three blue socks, three red socks, and four green socks. A spider...
A sock drawer contains three blue socks, three red socks, and four green socks. A spider pulls out eight of the socks and puts them on her eight feet. In how many ways can this happen? (Her feet are distinct so the order of the socks matters, but socks of the same color are indistinguishable. For instance, one way is RRBGGBRG.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT