Question

A fair die is rolled three times. Find the probability that one or more fours appear...

A fair die is rolled three times. Find the probability that one or more fours appear given that the sum of the three numbers that appear is 8.

- Thanks!!

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

Homework Answers

Answer #1

A fair die is rolled three times. Find the probability that one or more fours appear given that the sum of the three numbers that appear is 8.

Solution:

The numbers of ways that one or more fours appear given that the sum of the three numbers that appear is 8 are given as below:

(4,1,3)

(4,2,2)

(4,3,1)

(1,4,3)

(2,4,2)

(3,4,1)

(3,1,4)

(2,2,4)

(1,3,4)

So, there are total 9 ways that one or more fours appear given that the sum of the three numbers that appear is 8.

Total number of favourable outcomes = 9

Total number of outcomes = 6*6*6 = 216

Required probability = 9/216 = 0.041667

Required probability = 0.041667

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
a fair die is rolled 8 times what is the probability that not more that 2...
a fair die is rolled 8 times what is the probability that not more that 2 sixes come up.
5 fair 8-sided dice are rolled. (a) Find the conditional probability that at least one die...
5 fair 8-sided dice are rolled. (a) Find the conditional probability that at least one die lands on 3 given that all 5 dice land on different numbers.
1) A fair die is rolled 10 times. Find an expression for the probability that at...
1) A fair die is rolled 10 times. Find an expression for the probability that at least 3 rolls of the die end up with 5 dots on top. 2) What is the expected number of dots that show on the top of two fair dice when they are rolled?
4 fair 10-sided dice are rolled. (a) Find the conditional probability that at least one die...
4 fair 10-sided dice are rolled. (a) Find the conditional probability that at least one die lands on 3 given that all 4 dice land on different numbers. (b) True or False: If X is the sum of the 4 numbers from one roll, and Y is the maximum of the 4 numbers from one roll, then X and Y are independent random variables.
Two fair dice are rolled. (a) Find the conditional probability doubles are rolled, given the sum...
Two fair dice are rolled. (a) Find the conditional probability doubles are rolled, given the sum is eight. (b) Find the conditional probability the sum is eight, given doubles are rolled. (c) Find the probability at least one die lands on six. (d) Find the conditional probability at least one die lands on six, given that doubles are not rolled.
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 6-sided die is rolled eight times. What is the probability that there are exactly...
A fair 6-sided die is rolled eight times. What is the probability that there are exactly four even numbers?
A single die is rolled ten times. Find the probability that 3 appears at most three...
A single die is rolled ten times. Find the probability that 3 appears at most three times.
A fair die is rolled three times. We say that a match has occurred if the...
A fair die is rolled three times. We say that a match has occurred if the outcome of the first throw is 1, or the outcome of the second throw is 2, or the outcome of the third throw is 3. Find the probability of the event that a match occurs.
Three fair die are rolled. Use Monte Carlo simulation to estimate the probability distribution of the...
Three fair die are rolled. Use Monte Carlo simulation to estimate the probability distribution of the maximum of the three rolled die (i.e., let X represent the maximum when three fair die are rolled. Estimate p(X=i) for i= 1 to 6.). Simulate 10,000 times (10,000 replications/trials). Turn in a copy of the forecast frequency chart. please show screenshots of how to do it on Crystal ball.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT