Question

A person rolls a standard six-sided die 8 times. In how many ways can he get...

A person rolls a standard six-sided die 8 times. In how many ways can he get 2 fours, 5 sixes, and 1 two?

Homework Answers

Answer #1

Since, there is equally likely outcome of every number to be rolled.
Here, we are concerned about total numbers only not their sequence . So we will use combination instead of permutations.

Please like the answer, Thanks!

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Howard rolls a fair, 6 sided die 6 times. He is recording how many times he...
Howard rolls a fair, 6 sided die 6 times. He is recording how many times he rolls a multiple of 3. What is the probability of Howard rolling exactly 3 multiples of 3? Show your work.
A person tosses a coin 7 times. In how many ways can he get 5 heads?
A person tosses a coin 7 times. In how many ways can he get 5 heads?
1) A 10-sided die is rolled infinitely many times. Let X be the number of rolls...
1) A 10-sided die is rolled infinitely many times. Let X be the number of rolls up to and including the first roll that comes up 2. What is Var(X)? Answer: 90.0 2) A 14-sided die is rolled infinitely many times. Let X be the sum of the first 75 rolls. What is Var(X)? Answer: 1218.75 3) A 17-sided die is rolled infinitely many times. Let X be the average of the first 61 die rolls. What is Var(X)? Answer:...
Mary Math rolls a regular six-sided die and gets four sixes and stops. Would it be...
Mary Math rolls a regular six-sided die and gets four sixes and stops. Would it be appropriate to state that her die favors sixes? Could we conclude that the proportion of sixes is greater than the expected 1/6? Why or why not?
How many ways are there to roll ten different 6-sided die so that all six faces...
How many ways are there to roll ten different 6-sided die so that all six faces appear?
Roll a 20-sided die 10 times. Find the probability of getting: i. At least one six...
Roll a 20-sided die 10 times. Find the probability of getting: i. At least one six ii. At least one five and one six iii. 3 sixes given that no number larger than 12 appears iv. 3 sixes, 2 twelves, 4 twos, and 1 eight v. 1 triple, 3 doubles, and 1 single
Troy is conducting an experiment. He first rolls a fair die (six-sided) and then draw a...
Troy is conducting an experiment. He first rolls a fair die (six-sided) and then draw a chip out of a box containing 2 red chips, 4 green chips, and 9 blue chips. What is the probability Troy will roll a 3 and then draw a green chip?
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a...
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.) Face Value Frequency Expected Frequency 1 14 ? 2 32 ? 3 15 ? 4 15 ? 5 30 ? 6 14 ? Part (a) State the null hypothesis. Choose 1 or 2...
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a...
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.) Face Value Frequency Expected Frequency 1 14 ? 2 33 ? 3 15 ? 4 14 ? 5 30 ? 6 14 ? Part (a) State the null hypothesis. Choose 1 or 2...
5. Suppose the six-sided die you are using for this problem is not fair. It is...
5. Suppose the six-sided die you are using for this problem is not fair. It is biased so that rolling a 6 is three times more likely than any other roll. For this problem, the experiment is rolling a six-sided die twice. (A): What is the probability that one or both rolls are even numbers (2, 4 or 6’s)? (B): What is the probability that at least one of the rolls is an even number or that the sum of...