Question

In: Statistics and Probability

You roll a fair die three times. What is the probability of each of the​ following?...

You roll a fair die three times. What is the probability of each of the​ following?

​a) You roll all 4​'s. ​

b) You roll all even numbers.​

c) None of your rolls gets a number divisible by 3. ​

d) You roll at least one 2.

​e) The numbers you roll are not all 2​'s.

Solutions

Expert Solution


Related Solutions

You roll a fair six-sided die and don't look at it. What is the probability that...
You roll a fair six-sided die and don't look at it. What is the probability that it is a 5 given that your friend looks and tells you that it is greater than 2? Leave your answer as a fraction.
a fair 6-sided die is rolled three times. What is the probability that all three rolls...
a fair 6-sided die is rolled three times. What is the probability that all three rolls are 2? Round the answer to four decimal places
Suppose that we roll a die 166 times. What is the approximate probability that the sum...
Suppose that we roll a die 166 times. What is the approximate probability that the sum of the numbers obtained is between 544 and 606, inclusive. (if possible, could you explain the steps/ state theorems used). Thank you :)
You roll a six- sided die. Find the probability of each of the following scenarios a....
You roll a six- sided die. Find the probability of each of the following scenarios a. Rolling a 6 or a number greater than 3 b. Rolling a number less than 5 or an even number c. Rolling a 2 or an odd number
suppose you roll two fair dice. A) what is the probability that you will roll an...
suppose you roll two fair dice. A) what is the probability that you will roll an even number on the first die AND a 5 on the second die B) What is the probability that the sum of the numbers on the two dice is 9? show all work.
You roll a balanced die two times. Is the second roll independent of the first roll?
You roll a balanced die two times. Is the second roll independent of the first roll?
A fair red die and a fair green die are rolled. (a) What is the probability...
A fair red die and a fair green die are rolled. (a) What is the probability that the sum of the numbers is even? (b) What is the probability that the number on the red die is more than the number on the green die? (c) What is the probability that the number on the red die is twice the number on the green die? (d) What is the probability that the number on the red die is different from...
You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....
You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions. 1. P(sum=2) 2. P(sum is less than or equal to 4) 3. P(sum=13) 4. P(product)= 20 (Product means multiply) 5. P(product less than or equal to 12)
You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....
You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions. 1. P(sum=2) 2. P(sum is less than or equal to 4) 3. P(sum=13) 4. P(product)= 20 (Product means multiply) 5. P(product less than or equal to 12)
A fair die is rolled 300 times and each time a number evenly divisble by three...
A fair die is rolled 300 times and each time a number evenly divisble by three is​ rolled, a success is recorded. Find the probability of obtaining the​ following: Between 90 and 110 successes​ (inclusive) ​(Round to four decimal ​places)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT