two 6 sided dice are rolled . what is the probability the sum of the two numbers on the die will be 6
With 2 die, there are 36 possibilities. Each possibility has a 1/36 chance of occurring.
How many ways can you get 6?
5,1; 1,5; 4,2; 2,4; 3,3.
Either-or probabilities are found by adding the individual probabilities.
To calculate the probability of rolling a sum of 6 on two 6-sided dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The favorable outcomes are the combinations of numbers that add up to 6:
1 + 5 = 6
2 + 4 = 6
3 + 3 = 6
4 + 2 = 6
5 + 1 = 6
So, there are 5 favorable outcomes.
The total number of outcomes is found by multiplying the number of sides on each die:
6 sides × 6 sides = 36 total outcomes
Therefore, the probability of rolling a sum of 6 is:
P(sum of 6) = favorable outcomes / total outcomes
P(sum of 6) = 5 / 36
Hence, the probability of rolling a sum of 6 on two 6-sided dice is 5/36.
To find the probability of getting a sum of 6 on two 6-sided dice, we need to consider all the possible outcomes and determine how many of them result in a sum of 6.
Step 1: Determine the total number of possible outcomes:
Each of the two dice has 6 sides, so the total number of possible outcomes when rolled together is 6*6 = 36.
Step 2: Determine the number of outcomes that result in a sum of 6:
To achieve a sum of 6, we can have the following combinations: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). This gives us a total of 5 outcomes.
Step 3: Calculate the probability:
The probability is given by the ratio of the favorable outcomes (sum of 6) to the total number of outcomes.
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = 5 / 36
So, the probability of getting a sum of 6 when rolling two 6-sided dice is 5/36.