Probability that the sum is 6 = 5/36 Probability that the sum is 7 = 6/36
The probability is 0.
1-2
Assuming you mean when rolling 2 dice, the probability is the number of ways of getting the sum of 5 over the number of possible outcomes. 4 ways of getting 5 (1+4; 2+3; 3+2; 4+1) 36 outcomes (6 x 6) the probability is 4/36 = 1/9
With two normal six-sided dice, the maximum sum can only be 12 (6 x 2 dice), so there is zero probability of rolling a sum that adds to 16.
Probability that the sum is 6 = 5/36 Probability that the sum is 7 = 6/36
The probability is 0.
Part1: Finding probability of getting sum as a perfect square. Maximum sum of both the dice is (6+6) equal to 12. Up to 12, the perfect squares are: 1, 4 and 9. Getting a sum of 1 from two dice is not possible. So, we are left with 4 and 9. To get 4, the combination can be: (2,2) or (1,3) or (3,1). This means, to get the sum as 4, the probability is [3/36]. To get 9, the combination can be: (3,6) or (6,3) or (5,4) or (4,5). This means, to get the sum as 9, the probability is [4/36]. Therefore,the total probability of getting the sum as a perfect square is: [(3/36)+(4/36)]=[7/36]. Part2: Finding the probability of getting sum as an even number. The possible even numbers can be 2, 4, 6, 8, 10 and 12. But, as 4 is already considered in part1, it should be ignored in this case. The probability of getting sum as 2 is: [1/36] The probability of getting sum as 6 is: [5/36] The probability of getting sum as 8 is: [5/36] The probability of getting sum as 10 is: [3/36] By adding all the above, the probability of getting sum as an even number (ignoring 4) is: [(1/36)+(5/36)+(5/36)+(3/36)]=[14/36]. From part 1 and part 2, we get the total probability as [(7/36)+(14/36)]=[7/12]=0.583333.
If the die is fair then for a single roll, the probability is 1/2.
1-2
1-2
There are 36 permutations of two dice. Of these, 9 have a sum of 5 or 6, so the probability of rolling a sum of 5 or 6 on two dice is 9 in 36, or 1 in 9, or about 0.1111.
It is 1/6.
There are two possible sums that add up to a number evenly divisible by 2 and 3, namely 6 and 12. There are 5 different ways to roll a sum of 6, so the probability of that happening is 5/36. There is 1 way to roll a sum of 12, so the probability of that happening is 1/36. The probability of either happening is the sum of the two separate probabilities. p=5/36+1/36=6/36=1/6 ~= .1667 = 16.67%
There are 36 permutations of two dice. Of them, 6 have a sum of 7, (1+6, 2+5, 3+4, 4+3, 5+2, and 6+1) and 2 have a sum of 11 (5+6 and 6+5). The probability, then of getting a sum of 7 or 11 is (6 plus 2) in 36, or 8 in 36, or 2 in 9, or about 0.2222.
Assuming you mean when rolling 2 dice, the probability is the number of ways of getting the sum of 5 over the number of possible outcomes. 4 ways of getting 5 (1+4; 2+3; 3+2; 4+1) 36 outcomes (6 x 6) the probability is 4/36 = 1/9
The experiment is not defined! The probability of the event described, when 9 or more number cubes are rolled, is 0.