Question

How likely is it to get 7 with two dice? Probability of 8, 9, 10, 11 & 12?

Answer 1

When you roll two dice, there are 36 possible combinations. The total 7 is the most likely because it can happen in 6 ways. Getting 8 can happen in 5 ways, 9 in 4 ways, 10 in 3 ways, 11 in 2 ways, and 12 in only 1 way. So, the chance of getting each number gets smaller as the total goes higher after 7.

Here is how to calculate to get the probability of getting 11 with two dice. 

Thanks to Don't Memorise

Answer 2

Probability

Should you play the lottery? Will your favourite team win their next home game? Will it rain tomorrow? Life is full of questions like this, and they are all examples of things that have a certain probability to occur.

Often when playing games involving dice or deciding something with a flip of a coin, you might think that “you always get the heads” or “my friend always rolls a 6”. Let us conduct an experiment to see whether the coin and the die truly work as fair decision makers.

Credit: Science Buddies, YouTube

Let’s learn the theory:

Credit: Math Antics, YouTube

Exercises:

1. What is the probability of throwing one dice and getting the number greater than 4 ?
2. We select 7 playing cards out of 32. What is the probability that among the selected cards there are exactly three hearts ?
3. We have 100 tickets in the hat numbered from 1 to 100. With what probability will we pull out a number that is divisible by two or by five ?
4. There are 30 products in the box, from which 3 are faulty. Find the probability of pulling out 5 random products from the box and having among them at most two the faulty ones.

https://www.math-exercises.com/probability-and-statistics/probability