maths
posted by Anonymous
Suppose that 10 dice are rolled. Each die is a regular 6 sided die with numbers 1 through 6 labelled on the sides. How many different sums of all 10 numbers are possible?

Reiny
smallest sum is 10, largest sum of 600
since all possible sums between are possible,
all we have to do is find which term number 600 is
of the arithmetic sequence with
term1 = 10 , d = 1, term(n) = 600
a + (n1)d = term(n)
10 + n1 = 600
n1 = 590
n = 591
There are 591 different sums possible.
Respond to this Question
Similar Questions

MATH Prob.
A 6sided die is rolled. The sides contain the numbers 1,2,3,4,5,6. List the sample space of rolling one die. 
math
A 6sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. List the sample space of rolling one die. 9) _______ A) {6} B) {36} C) {1, 2, 3, 4, 5, 6} D) None of these 
math 3
Peter is playing a game where a tensided die is rolled. Four sides of the die have the number 10, three sides of the die have the number 5, two sides of the die have the number 25, and one side of the die has the number 27. What is … 
math 3
Peter is playing a game where a tensided die is rolled. Four sides of the die have the number 10, three sides of the die have the number 5, two sides of the die have the number 25, and one side of the die has the number 27. What is … 
math
A sixsided die (with numbers 1 through 6) and an eightsided die (with numbers 1 through 8) are rolled. What is the probability that there is exactly one 6 showing? 
probability
Two sixsided dice each have the numbers 1 through 6 on their faces. Neither die is fair, but they are both weighted the same. The probability of rolling a certain number on one die is given in the table below: # 1 2 3 4 5 6 probability … 
probability
We have two fair threesided dice, indexed by i=1,2. Each die has sides labelled 1, 2, and 3. We roll the two dice independently, one roll for each die. For i=1,2, let the random variable Xi represent the result of the ith die, so … 
Maths
An 8sided die shows the numbers 1 to 8. A 6sided die shows the numbers 1 to 6. If both dice are rolled at the same time, how many possible outcomes are there? 
math
A fair 6 sided dice is marked with the numbers 1, 2, 3, 4,5, and 6. The dice is rolled three times and the results are added. How many different sums are possible? 
math
If two dice are rolled and their faces noted, find each of the following probabilities: a) the sum of the two dice is 8 b) both dice show even numbers c) the sum of the two dice is 8 OR both dice show even numbers d) the sum of the …