![]() ![]() And you can see here, there areģ6 possible outcomes, 6 times 6 possible outcomes. Roll a 4 on the first die and a 5 on the second die. Roll a 3 on the first die, a 2 on the second die. This outcome is where we rollĪ 1 on the first die and a 1 on the second die. We roll a 5 on the second die, just filling this in. This is a comma that I'mĭoing between the two numbers. Here's where we rollĪ 3 on the second die. This is where we rollĪ 2 on the second die. Through the columns, and this first column is where This is where I rollĪ 3 on the first die. Outcomes where I roll a 2 on the first die. And this would be I runĪ 1 on the second die, but I'll fill that in later. Several of these, just so that we could reallyĭo this a little bit clearer. Let me draw a grid here just to make it a little bit neater. Outcomes for each of the die, we can now think of the I could get a 1, a 2,Ī 3, a 4, a 5, or a 6. What are the possible rolls? Well, they're A 3 and a 3, a 4 and a 4,Ī 5 and a 5, a 6 and a 6, all of those are If I roll the two dice, I get the same numberĪnd a 1, that's doubles. So when they're talkingĪbout rolling doubles, they're just saying, If ever in doubt use diagrams to see a few cases of what you're doing to get an intuition It can get a bit confucing, but most of the time you will be using the more simple cases. It's still 1/6 since you are rolling them separately and they don't effect each other. Or rolling a 1 on one die OR rolling a 2 on another. You still have to be careful, like if a problem asks what the odds of rolling a 1 AND a 2 on ONE die is, you can't roll both so the answer is 0. In simple caes it's just adding, like what are the odds of rolling a 1 OR 2 on a dice? you add the two, which you can see on a diagram. The calculation is a bit different if you are looking for one thing to happen OR another. And you can keep goign with this pattern. so you want to roll x first AND y second. To find this out through math though you multiply probabilities of events happening if you are looking for both of them happening. Now, rolling two different numbers in a specific order you can tell with a diagram is 1/36. So, since there is an equal chance to roll any number on a six sided die, that means the chance of rolling any one number is one out of 6 or 1/6. But to show you, I will try and descrive how to do it. Definitely, and you should eventually get to videos descriving it. ![]()
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