=> There are three ways to get a sum of 8 when two indistinguishable dice are rolled. Assuming we are talking about two six sided fair dice: 1. There are 36 possible combinations.
How many ways can you make 8 with 2 dice?
Probabilities for the two dice
|Total||Number of combinations||Probability|
What is the probability of getting a sum of 8 when two dice are thrown?
So the probability is the sum of the five individual probabilities which is 5*(1/36)= 5/36. Therefore the probability that we get the sum as 8 when two dice are thrown is 5/36.
What is the probability that a sum of 8 on the 2 dice will occur at least once?
You can get the pairs (2,6), (3,5), (4,4), (5,3), (6,2). That’s 5 ways of getting a sum of 8. There are 6*6 = 36 possibilities, so the probability is 5/36= 13.9% approximately. (If you ever play craps at a casino, it’s good to know these probabilities).
What is the probability of getting a 2 or a 5 when a die is rolled?
Two (6-sided) dice roll probability table
What is the probability of getting a sum of 7 when two dice are thrown?
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
What is the probability of rolling a sum of 7 and 11?
What is the probability that the sum will be a 7 or 11? There are 36 possible outcomes for the two dice. So, the probability is 8/36 = 2/9.