Question

A six-sided fair die is rolled six times independently. If side i is observed on the...

A six-sided fair die is rolled six times independently. If side i is observed on the ith roll, it is called a match on the ith trial, i = 1, 2, 3, 4, 5, 6. Find the probabilities that

(a) all six trials result in matches,

(b) at least one match occurs in these six trials,

(c) exactly two matches occur in these six trials.

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

Homework Answers

Answer #1

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
Example 1 A fair six-sided die is rolled six times. If the face numbered k is...
Example 1 A fair six-sided die is rolled six times. If the face numbered k is the outcome on roll k for k=1, 2, ..., 6, we say that a match has occurred. The experiment is called a success if at least one match occurs during the six trials. Otherwise, the experiment is called a failure. The sample space S={success, failure} The event A happens when the match happens. A= {success} Assign a value to P(A) Simulate the experiment on...
Assume that a fair six-sided die is rolled 9 times, and the roll is called a...
Assume that a fair six-sided die is rolled 9 times, and the roll is called a success if the result is in {1,2}{1,2}. What is the probability that there are exactly 4 successes or exactly 4 failures in the 9 rolls?
A fair 4-sided die is rolled 7 times. (a) Find the probability that the side 1...
A fair 4-sided die is rolled 7 times. (a) Find the probability that the side 1 comes up exactly 3 times. (b) Find the probability that there is at least one side that comes up exactly 3 times.
A fair six-sided die is rolled until each face is observed at least once. On the...
A fair six-sided die is rolled until each face is observed at least once. On the average, how many rolls of the die are needed? Hint: use mathematical expectation and geometric distribution
A six-sided die is rolled 10 times and the number of times the six is rolled...
A six-sided die is rolled 10 times and the number of times the six is rolled is recorded. This is an example of a binomial experiment. Select one: True False
Roll a single six-sided die 4 times and record the number of sixes observed. Does the...
Roll a single six-sided die 4 times and record the number of sixes observed. Does the number of sixes rolled in 4 tosses of a die meet the conditions required of a binomial random variable? Construct the probability distribution for this experiment.
A fair six-sided die has two sides painted red, 3 sides painted blue and one side...
A fair six-sided die has two sides painted red, 3 sides painted blue and one side painted yellow. The die is rolled and the color of the top side is recorded. List all possible outcomes of this random experiment Are the outcomes equally likely? Explain Make a probability distribution table for the random variable X: color of the top side        2. If a pair of dice painted the same way as in problem 1 is rolled, find the probability...
If a single six-sided die is rolled five times, what is the probability that a six...
If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times? a) 0.125 b) 0.032 c) 0.042 d) 0.5
Alice rolled a fair, six-sided die ten times and counted that she got an even number...
Alice rolled a fair, six-sided die ten times and counted that she got an even number six times. Which of the following statements is FALSE?     The distribution of the count of getting an odd number is binomial.     The distribution of the count of getting an even number is binomial.     The distribution of the count of getting an even number cannot be modeled as approximately normal if the die is rolled more than 100 times.     The distribution...
#2)   A six-sided die is rolled 120 times. The data in the following table shows the...
#2)   A six-sided die is rolled 120 times. The data in the following table shows the results for 120 rolls: Number of dots facing up      Frequency   Expected frequency            1             15            2             29            3             16            4                       15            5             30            6             15 Fill in the expected frequencies Use the data given to test the claim that the die is fair (i.e. that the probabilities for each value are the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT